, u V est une fonction positive, V = 0, qui appartientàappartient`appartientà la classe Hölder inverse RH d/2 . Dans cet article, nous prouvons une version du théorème
, Weighted estimates for commutators of linear operators, Bibliography Studia Math, vol.104, issue.2, pp.195-209, 1993.
, Estimates for the kernel and continuity properties of pseudo-differential operators, Arkiv f??r Matematik, vol.28, issue.1-2, pp.1-22, 1990.
DOI : 10.1007/BF02387364
, Weighted inequalities for vector-valued maximal functions and singular integrals, Studia Math, vol.6981, issue.1, pp.19-31, 1980.
, Mappings of BM O-bounded distortion, Math. Ann, pp.317-703, 2000.
, Une note sur les lemmes div???curl, Comptes Rendus Mathematique, vol.337, issue.8, pp.511-516, 2003.
DOI : 10.1016/j.crma.2003.08.004
, Hardy Sobolev spaces on strongly Lipschitz domains of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>, Journal of Functional Analysis, vol.218, issue.1, pp.54-109, 2005.
DOI : 10.1016/j.jfa.2004.06.005
, Convexity conditions and existence theorems in nonlinear elasticity, Archive for Rational Mechanics and Analysis, vol.8, issue.4, pp.703-726, 1977.
DOI : 10.1007/BF00279992
, A $T(1)$-theorem in relation to a semigroup of operators and applications to new paraproducts, Transactions of the American Mathematical Society, vol.364, issue.11
DOI : 10.1090/S0002-9947-2012-05609-1
URL : https://hal.archives-ouvertes.fr/hal-00487080
, A T 1 criterion for Hermite-Calderón-Zygmund operators on the BM O H (R n ) space and applications, to appear in Ann, Sc. Norm. Sup. Pisa. Sci, 2010.
, ¨ Uber die verallgemeinerung des begriffes der zueinander konjugierten potenzen, Studia Math, vol.3, pp.1-67, 1931.
, Endpoint for the div-curl lemma in Hardy spaces, Publicacions Matem??tiques, vol.54, issue.2, pp.341-358, 2010.
DOI : 10.5565/PUBLMAT_54210_03
URL : https://hal.archives-ouvertes.fr/hal-00337750
, Hankel operators and weak factorization for Hardy???Orlicz spaces, Colloquium Mathematicum, vol.118, issue.1, pp.107-132, 2010.
DOI : 10.4064/cm118-1-5
URL : https://hal.archives-ouvertes.fr/hal-00360774
, Boundedness of Hankel operators on, Comptes Rendus Mathematique, vol.344, issue.12, pp.749-752, 2007.
DOI : 10.1016/j.crma.2007.05.004
URL : https://hal.archives-ouvertes.fr/hal-00460906
, Paraproducts and products of functions in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="italic">BMO</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>n</mml:mi></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> and <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi mathvariant="script">H</mml:mi><mml:mn>1</mml:mn></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>n</mml:mi></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> through wavelets, Journal de Math??matiques Pures et Appliqu??es, vol.97, issue.3, pp.230-241, 2012.
DOI : 10.1016/j.matpur.2011.06.002
, Produits de fonctions de H^1 et BMO, Annales de l???institut Fourier, vol.57, issue.5, pp.1405-1439, 2007.
DOI : 10.5802/aif.2299
, Riesz transforms related to Schr??dinger operators acting on BMO type spaces, Journal of Mathematical Analysis and Applications, vol.357, issue.1, pp.115-131, 2009.
DOI : 10.1016/j.jmaa.2009.03.048
, Commutators of Riesz Transforms Related to??Schr??dinger Operators, Journal of Fourier Analysis and Applications, vol.45, issue.2, pp.115-134, 2011.
DOI : 10.1007/s00041-010-9133-6
, Remarks on some subspaces of $BMO ({\Bbb R}^n)$ and of $bmo({\Bbb R}^n)$, Annales de l???institut Fourier, vol.52, issue.4, pp.1187-1218, 2002.
DOI : 10.5802/aif.1915
, Boundedness of operators on Hardy spaces via atomic decompositions, Proc. Amer, pp.3535-3542, 2005.
, Weighted anisotropic Hardy spaces and their applications in boundedness of sublinear operators, Indiana Univ. Math. J, vol.57, issue.7, pp.3065-3100, 2008.
, Estimates of BM O type for singular integrals on spaces of homogeneous type and applications to hypoelliptic PDEs, Rev. Mat. Iberoamericana, vol.21, issue.2, pp.511-556, 2005.
, Weighted Hardy spaces, Math. Nachr, vol.103, pp.45-62, 1981.
, Boundedness of singular integrals and their commutators with BM O functions on Hardy spaces
, Hardy spaces, BM O, and boundary value problems for the Laplacian on a smooth domain in R n, Transactions of the American Mathematical Society, vol.351, issue.04, pp.1605-1661, 1999.
DOI : 10.1090/S0002-9947-99-02111-X
, Commutators of Littlewood-Paley operators. Sci. China Ser, pp.2493-2505, 2009.
, Renormalisation du produit, Jacobiens et transformations de Riesz, Journal de Math??matiques Pures et Appliqu??es, vol.80, issue.10, pp.1013-1028, 2001.
DOI : 10.1016/S0021-7824(00)01199-5
URL : http://doi.org/10.1016/s0021-7824(00)01199-5
, A real variable characterization of H p, Studia Math, vol.51, pp.269-274, 1974.
, Opérateurs bilinéaires et renormalisation . (French) [Bilinear operators and renormalization] Essays on Fourier analysis in honor of, pp.146-161, 1991.
, Hardy Space Estimates for Multilinear Operators, I, Revista Matem??tica Iberoamericana, vol.8, issue.1, pp.45-67, 1992.
DOI : 10.4171/RMI/116
, Some new function spaces and their applications to Harmonic analysis, Journal of Functional Analysis, vol.62, issue.2, pp.304-335, 1985.
DOI : 10.1016/0022-1236(85)90007-2
, Factorization Theorems for Hardy Spaces in Several Variables, The Annals of Mathematics, vol.103, issue.3, pp.611-635, 1976.
DOI : 10.2307/1970954
, Extensions of Hardy spaces and their use in analysis, Bulletin of the American Mathematical Society, vol.83, issue.4, pp.569-645, 1977.
DOI : 10.1090/S0002-9904-1977-14325-5
, Compensated compactness and Hardy spaces, J. Math. Pures Appl, issue.9, pp.72-247, 1993.
, Hardy spaces on strongly pseudoconvex domains in C n and domains of finite type in C 2, 1993.
, Local $\VMO$ and Weak Convergence in $\hone$, Bulletin canadien de math??matiques, vol.45, issue.1, pp.46-59, 2002.
DOI : 10.4153/CMB-2002-005-2
, Orthonormal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics, vol.34, issue.7, pp.909-996, 1988.
DOI : 10.1002/cpa.3160410705
, Functions of vanishing mean osillation associated with operators and applications. Michigan Math, J, vol.56, pp.529-550, 2008.
, Maximal function on Musielak???Orlicz spaces and generalized Lebesgue spaces, Bulletin des Sciences Math??matiques, vol.129, issue.8, pp.657-700, 2005.
DOI : 10.1016/j.bulsci.2003.10.003
URL : http://doi.org/10.1016/j.bulsci.2003.10.003
, Function spaces of variable smoothness and integrability, Journal of Functional Analysis, vol.256, issue.6, pp.1731-1768, 2009.
DOI : 10.1016/j.jfa.2009.01.017
, Continuity of Higher Order Commutators on Certain Hardy Spaces, Acta Mathematica Sinica, English Series, vol.44, issue.2, pp.391-404, 2002.
DOI : 10.1007/s101140200160
, Ondelettes, renormalisations du produit et applications a certains operateurs bilineaires, These, 1992.
, version ondelettes " du théorème du Jacobien. (French) [The " wavelet version, of the theorem of the Jacobian] Rev. Mat. Iberoamericana, vol.11, issue.2, pp.309-333, 1995.
DOI : 10.4171/rmi/174
, Lemme div-curl et renormalisation. (French) [The div-curl lemma and renormalization] Séminaire sur lesÉquationsles´lesÉquations aux Dérivées Partielles, Exp, issue.2, pp.1-4, 1991.
, Duality of Hardy and BM O spaces associated with operators with heat kernel bounds, Journal of the American Mathematical Society, vol.18, issue.04, pp.943-973, 2005.
DOI : 10.1090/S0894-0347-05-00496-0
, BMO spaces related to Schr??dinger operators with potentials satisfying a reverse H??lder inequality, Mathematische Zeitschrift, vol.45, issue.2, pp.329-356, 2005.
DOI : 10.1007/s00209-004-0701-9
, Hardy space H 1 associated to Schrödinger operator with potential satisfying reverse Hölder inequality, Rev. Mat. Iberoamericana, vol.15, pp.279-296, 1999.
, Characterizations of bounded mean oscillation, Bulletin of the American Mathematical Society, vol.77, issue.4, pp.587-588, 1971.
DOI : 10.1090/S0002-9904-1971-12763-5
, Hp spaces of several variables, Acta Mathematica, vol.129, issue.0, pp.137-193, 1972.
DOI : 10.1007/BF02392215
, A discrete transform and decompositions of distribution spaces, Journal of Functional Analysis, vol.93, issue.1, pp.93-127, 1990.
DOI : 10.1016/0022-1236(90)90137-A
, The Boundedness of Calder??n-Zygmund Operators on the Spaces $\dot{F}^{\alpha, q}_p$, Revista Matem??tica Iberoamericana, vol.4, issue.1, pp.41-72, 1988.
DOI : 10.4171/RMI/63
, Hardy spaces on homogeneous groups, 1982.
, Weighted H p spaces, Dissertations Math, vol.162, pp.1-63, 1979.
, Wavelet characterization of weighted spaces, Journal of Geometric Analysis, vol.8, issue.3, pp.241-264, 2001.
DOI : 10.1007/BF02921965
, Rubio de Francia, Weighted norm inequalities and related topics, NorthHolland Math. Stud, vol.116, 1985.
, The Lp-integrability of the partial derivatives of A quasiconformal mapping, Acta Mathematica, vol.130, issue.0, pp.265-277, 1973.
DOI : 10.1007/BF02392268
, A local version of real Hardy spaces, Duke Mathematical Journal, vol.46, issue.1, pp.27-42, 1979.
DOI : 10.1215/S0012-7094-79-04603-9
, New Inequalities for the Jacobian, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.11, issue.1, pp.17-35, 1994.
DOI : 10.1016/S0294-1449(16)30194-9
, <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math> boundedness of commutators of Riesz transforms associated to Schr??dinger operator, Journal of Mathematical Analysis and Applications, vol.341, issue.1, pp.421-432, 2008.
DOI : 10.1016/j.jmaa.2007.05.024
, Littlewood???Paley characterizations for Hardy spaces on spaces of homogeneous type, Mathematische Nachrichten, vol.76, issue.13-14, pp.13-14, 2006.
DOI : 10.1002/mana.200610435
, A Look at BMO??(??) through Carleson Measures, Journal of Fourier Analysis and Applications, vol.13, issue.3, pp.267-284, 2007.
DOI : 10.1007/s00041-005-5044-3
, )-functions, Mathematische Nachrichten, vol.3, issue.3-4, pp.1747-1763, 2008.
DOI : 10.1002/mana.200510711
, Boundedness of commutators of fractional and singular integrals for the extreme values of p, Illinois J. Math, pp.41-676, 1997.
, A first course on wavelets, Studies in Advanced Mathematics, 1996.
, Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates, to appear in Mem
, Second order elliptic operators with complex bounded measurable coeffcients in L p , Sobolev and Hardy spaces, Ann. Sci. ´ Ec. Norm. Supér, 2011.
, LUSIN AREA FUNCTION AND MOLECULAR CHARACTERIZATIONS OF MUSIELAK???ORLICZ HARDY SPACES AND THEIR APPLICATIONS, Communications in Contemporary Mathematics, vol.15, issue.06
DOI : 10.1142/S0219199713500296
, Boundedness of Some Maximal Commutators in Hardy-type Spaces with Non-doubling Measures, Acta Mathematica Sinica, English Series, vol.9, issue.6, pp.1129-1148, 2007.
DOI : 10.1007/s10114-007-0938-4
, Nonlinear commutators and jacobians, Special Issue, pp.775-796, 1997.
DOI : 10.1007/BF02656485
URL : http://www.digizeitschriften.de/download/PPN375375147_0003/PPN375375147_0003___log44.pdf
, Geometric Function Theory and Nonlinear Analysis, 2001.
, ${\cal H}^1$ -estimates of Jacobians by subdeterminants, Mathematische Annalen, vol.324, issue.2, pp.341-358, 2002.
DOI : 10.1007/s00208-002-0341-5
, Weak minima of variational integrals, J. Reine Angew. Math, vol.454, pp.143-161, 1994.
, On the Operator L(f)=flog|f|, Journal of Functional Analysis, vol.169, issue.2, pp.391-420, 1999.
DOI : 10.1006/jfan.1999.3443
, A study of Jacobians in Hardyd???Orlicz spaces, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.1311, issue.03, pp.539-570, 1999.
DOI : 10.1090/S0002-9947-1987-0902788-8
, On functions with conditions on the mean oscillation, Arkiv f??r Matematik, vol.14, issue.1-2, pp.189-196, 1976.
DOI : 10.1007/BF02385834
, Generalizations of Lipschitz spaces and an application to Hardy spaces and bounded mean oscillation. Duke Math, J, issue.4, pp.47-959, 1980.
, On the action of Hankel and Toeplitz operators on some function spaces. Duke Math, J, vol.51, issue.4, pp.937-958, 1984.
, New Orlicz???Hardy spaces associated with divergence form elliptic operators, Journal of Functional Analysis, vol.258, issue.4, pp.1167-1224, 2010.
DOI : 10.1016/j.jfa.2009.10.018
, On weak convergence in H 1 (R n ), Proc. Amer, pp.137-138, 1994.
, A characterization of Haj??asz???Sobolev and Triebel???Lizorkin spaces via grand Littlewood???Paley functions, Journal of Functional Analysis, vol.258, issue.8, pp.2637-2661, 2010.
DOI : 10.1016/j.jfa.2009.11.004
, New Hardy Spaces of Musielak???Orlicz Type and Boundedness of Sublinear Operators, Integral Equations and Operator Theory, vol.29, issue.8
DOI : 10.1007/s00020-013-2111-z
URL : https://hal.archives-ouvertes.fr/hal-00578059
, Bilinear decompositions and commutators of singular integral operators, Transactions of the American Mathematical Society, vol.365, issue.6
DOI : 10.1090/S0002-9947-2012-05727-8
URL : https://hal.archives-ouvertes.fr/hal-00589824
, Endpoint estimates for commutators of singular integrals related to Schrödinger operators
, On weak * -convergence in H 1 L (R d )
URL : https://hal.archives-ouvertes.fr/hal-00696432
, Bilinear decompositions for the product space H 1 L, pp.1204-3041
, A characterization of H p (R n ) in terms of atoms, Studia Math, vol.62, pp.93-101, 1978.
, Weighted norm inequalities of Bochner???Riesz means, Journal of Mathematical Analysis and Applications, vol.324, issue.2, pp.1274-1281, 2006.
DOI : 10.1016/j.jmaa.2005.07.085
, Some remarks on the Hardy-Littlewood maximal function on variable Lp spaces, Mathematische Zeitschrift, vol.98, issue.3, pp.509-521, 2005.
DOI : 10.1007/s00209-005-0818-5
, EstimationsLpdes op??rateurs de Schr??dinger sur les groupes nilpotents, Journal of Functional Analysis, vol.161, issue.1, pp.152-218, 1999.
DOI : 10.1006/jfan.1998.3347
URL : http://doi.org/10.1006/jfan.1998.3347
, The Boundedness for Commutators of Multipliers, Acta Mathematicae Applicatae Sinica, English Series, vol.128, issue.1, pp.113-122, 2007.
DOI : 10.1007/s10255-006-0355-y
, The decomposition of product space H 1 L
, ENDPOINT ESTIMATES FOR COMMUTATORS OF RIESZ TRANSFORMS ASSOCIATED WITH SCHR??DINGER OPERATORS, Bulletin of the Australian Mathematical Society, vol.45, issue.03, pp.367-389, 2010.
DOI : 10.1006/jfan.1998.3347
, New real-variable characterizations of Musielak???Orlicz Hardy spaces, Journal of Mathematical Analysis and Applications, vol.395, issue.1, pp.413-428, 2012.
DOI : 10.1016/j.jmaa.2012.05.049
, <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi mathvariant="italic">BMO</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi mathvariant="double-struck">H</mml:mi><mml:mi>n</mml:mi></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> spaces and Carleson measures for Schr??dinger operators, Advances in Mathematics, vol.228, issue.3, pp.1631-1688, 2011.
DOI : 10.1016/j.aim.2011.06.024
, Boundedness of Commutators on Hardy-Type Spaces, Integral Equations and Operator Theory, vol.57, issue.3, pp.381-396, 2007.
DOI : 10.1007/s00020-006-1461-1
, Endpoint estimates for commutators of Calder??n-Zygmund type operators, Kodai Mathematical Journal, vol.25, issue.1, pp.79-88, 2002.
DOI : 10.2996/kmj/1106171078
, Continuity for commutators of Littlewood-Paley operator on certain Hardy spaces, J. Korean Math. Soc, vol.40, issue.1, pp.41-60, 2003.
, Continuity for Maximal Multilinear Bochner???Riesz Operators on Hardy and Herz???Hardy Spaces, Acta Mathematica Sinica, English Series, vol.16, issue.1, pp.69-76, 2006.
DOI : 10.1007/s10114-004-0488-y
, Continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator, Publicacions Matem??tiques, vol.47, issue.1, pp.45-69, 2003.
DOI : 10.5565/PUBLMAT_47103_03
, Continuity for maximal commutator of Bochner-Riesz operators on some weighted Hardy spaces, Int. J. Math. Math. Sci, issue.2, pp.195-201, 2005.
, Boundedness of Some Marcinkiewicz Integral Operators Related to Higher Order Commutators on Hardy Spaces, Acta Mathematica Sinica, English Series, vol.45, issue.61, pp.105-114, 2006.
DOI : 10.1007/s10114-005-0545-1
, Regularity estimates in Hölder spaces for Schrödinger operators via a T 1 theorem
, A minimum problem with free boundary in Orlicz spaces, Advances in Mathematics, vol.218, issue.6, pp.1914-1971, 2008.
DOI : 10.1016/j.aim.2008.03.028
, On the $H^1$--$L^1$ boundedness of operators, Proc. Amer, pp.2921-2931, 2008.
DOI : 10.1090/S0002-9939-08-09365-9
, Atomic decompositions and operators on Hardy spaces, Rev. Un. Mat. Argentina, vol.50, issue.2, pp.15-22, 2009.
, Wavelets and operators. Advanced mathematics, 1992.
, Wavelets, Calderón-Zygmund and multilinear operators . Advanced mathematics, 1997.
, Weighted bounded mean oscillation and the Hilbert transform, Studia Math, vol.5476, issue.3, pp.221-237, 1975.
, On the dual of weighted H 1 of the half-space, Studia Math, vol.63, issue.1, pp.57-79, 1978.
, Weak continuity of determinants and nonlinear elasticity, C.R. Acad. Sci. Paris Ser. I Math, pp.311-324, 1990.
, Hardy space methods for nonlinear partial differential equations, Tatra Mt. Math. Publ, vol.4, pp.159-168, 1994.
, Compacit?? par compensation, Mémoires de la Société mathématique de France, vol.1, pp.489-507, 1978.
DOI : 10.24033/msmf.265
, Orlicz spaces and modular spaces, Lect. Notes Mat, vol.1034, 1983.
DOI : 10.1007/BFb0072210
, Pointwise multipliers for functions of bounded mean oscillation, Journal of the Mathematical Society of Japan, vol.37, issue.2, pp.207-218, 1985.
DOI : 10.2969/jmsj/03720207
, Hankel and Toeplitz Transforms on H 1: Continuity, Compactness and Fredholm Properties, Integral Equations and Operator Theory, vol.61, issue.4, pp.573-591, 2008.
DOI : 10.1007/s00020-008-1609-2
, Endpoint Estimates for Commutators of Singular Integral Operators, Journal of Functional Analysis, vol.128, issue.1, pp.163-185, 1995.
DOI : 10.1006/jfan.1995.1027
, Theory of Orlicz spaces, Pure and Applied Mathematics, vol.146, 1991.
, Derivatives of Analytic Families of Banach Spaces, The Annals of Mathematics, vol.118, issue.2, pp.315-347, 1983.
DOI : 10.2307/2007031
, Calder??n-Zygmund theory for operator-valued kernels, Advances in Mathematics, vol.62, issue.1, pp.7-48, 1986.
DOI : 10.1016/0001-8708(86)90086-1
, Littlewood-Paley Theory and Function Spaces withAlocp Weights, Mathematische Nachrichten, vol.189, issue.1, pp.145-180, 2001.
DOI : 10.1002/1522-2616(200104)224:1<145::AID-MANA145>3.0.CO;2-2
, Molecular characterization of Hardy-Orlicz spaces. (English summary ) Rev, pp.203-217, 1996.
, $L^p$ estimates for Schr??dinger operators with certain potentials, Annales de l???institut Fourier, vol.45, issue.2, pp.513-546, 1995.
DOI : 10.5802/aif.1463
, Riesz transforms associated to Schr??dinger operators on weighted Hardy spaces, Journal of Functional Analysis, vol.259, issue.6, pp.1466-1490, 2010.
DOI : 10.1016/j.jfa.2010.05.015
, Bounded Toeplitz Operators on H 1 and Applications of the Duality Between H 1 and the Functions of Bounded Mean Oscillation, American Journal of Mathematics, vol.98, issue.3, pp.573-589, 1976.
DOI : 10.2307/2373807
, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, 1993.
, On the theory of harmonic functions of several variables: I. The theory of Hp-spaces, Acta Mathematica, vol.103, issue.1-2, pp.25-62, 1960.
DOI : 10.1007/BF02546524
, Bounded mean oscillation with Orlicz norms and duality of Hardy spaces, Bulletin of the American Mathematical Society, vol.82, issue.6, pp.511-544, 1979.
DOI : 10.1090/S0002-9904-1976-14231-0
, Weighted Hardy spaces, Lecture Notes in Mathematics, vol.1381, 1989.
DOI : 10.1007/BFb0091154
, Interior <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>h</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>-estimates for second order elliptic equations with vanishing LMO coefficients, Journal of Functional Analysis, vol.234, issue.2, pp.235-260, 2006.
DOI : 10.1016/j.jfa.2005.10.004
, The molecular characterization of certain Hardy spaces; Astérisque, pp.77-67, 1980.
, The boundedness of commutator of Riesz transform associated with Schr??dinger operators on a Hardy space, Journal of Function Spaces and Applications, vol.7, issue.3, pp.241-250, 2009.
DOI : 10.1155/2009/203934
, Compensated compactness and applications to partial differential equations, Nonlinear analysis and mechanics: Heriot-Watt Symposium, IV, Res. Notes in Math, pp.136-212, 1979.
, An atomic decomposition of the Predual of BM O(?), Revista Matematica Iberoamericana, vol.3, pp.401-425, 1987.
, Boundedness for multilinear commutator of multiplier operator on Hardy spaces, Sci. Ser. A Math. Sci. (N.S.), vol.17, pp.19-26, 2009.
, Weak type estimates for commutators generated by the Riesz transform associated with Schrödinger operators, New Zealand J. Math, vol.39, pp.103-116, 2009.
, Weak-type Endpoint Estimates for Multilinear Singular Integral Operators, Acta Mathematica Sinica, English Series, vol.45, issue.1, pp.209-214, 2005.
DOI : 10.1007/s10114-003-0254-6
, Weighted local Orlicz???Hardy spaces with applications to pseudo-differential operators, Dissertationes Mathematicae, vol.478
DOI : 10.4064/dm478-0-1
URL : http://arxiv.org/abs/1107.3266
, Local Hardy spaces of Musielak-Orlicz type and their applications, Science China Mathematics, vol.29, issue.8, pp.1677-1720, 2012.
DOI : 10.1007/s11425-012-4377-z
, Musielak???Orlicz???Hardy Spaces Associated with Operators and Their Applications, Journal of Geometric Analysis, vol.55, issue.1007, 2012.
DOI : 10.1007/s12220-012-9344-y
URL : http://arxiv.org/abs/1201.5512
, Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators. Potential Anal, pp.271-300, 2009.
, A Boundedness Criterion via Atoms for??Linear??Operators in Hardy Spaces, Constructive Approximation, vol.25, issue.9, pp.207-218, 2009.
DOI : 10.1007/s00365-008-9015-1
, Localized Hardy spaces $H^{1}$ related to admissible functions on RD-spaces and applications to Schr??dinger operators, Transactions of the American Mathematical Society, vol.363, issue.03, pp.1197-1239, 2011.
DOI : 10.1090/S0002-9947-2010-05201-8
, Commutators of multipliers on Hardy spaces, Analysis in Theory and Applications, vol.17, issue.1, pp.226-234, 2005.
DOI : 10.1007/BF02836952
, The Sobolev estimates for some Schrödinger type operators, Math. Sci. Res. Hot-Line, vol.3, issue.8, pp.1-48, 1999.