Elliptic Partial Differential Equations and Quasiconformal mappings in the plane, 2009. ,
DOI : 10.1515/9781400830114
Calder??n???s inverse conductivity problem in the plane, Annals of Mathematics, vol.163, issue.1, pp.163-265, 2006. ,
DOI : 10.4007/annals.2006.163.265
Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation, Complex Variables and Elliptic Equations, vol.40, issue.4 ,
DOI : 10.1007/978-3-642-65513-5
URL : https://hal.archives-ouvertes.fr/hal-00909577
Hardy spaces of the conjugate Beltrami equation, Journal of Functional Analysis, vol.259, issue.2, pp.384-427, 2010. ,
DOI : 10.1016/j.jfa.2010.04.004
URL : https://hal.archives-ouvertes.fr/hal-00401712
Theory of pseudo-analytic functions, 1953. ,
Generalized analytic functions in fractional spaces, 1997. ,
Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators, Progress in Math, 1997. ,
Degree theory and BMO; part I: Compact manifolds without boundaries, Selecta Mathematica, New Series, vol.98, issue.2, pp.197-263, 1995. ,
DOI : 10.1007/BF01671566
Sur les systèmes linéaires aux dérivées partielles du premier ordrè a deux variables, C.R. Acad. Sc. Paris, vol.197, pp.471-474, 1933. ,
Espaces fonctionnels Utilisation dans la résolution deséquationsdeséquations aux dérivées partielles, 2007. ,
Theory of H p spaces, Pure and Applied Mathematics, vol.38, 1970. ,
Hardy spaces for the conjugated Beltrami equation in a doubly connected domain, Journal of Mathematical Analysis and Applications, vol.383, issue.2, pp.439-450, 2011. ,
DOI : 10.1016/j.jmaa.2011.05.031
URL : https://hal.archives-ouvertes.fr/hal-00605932
Nonlinear Riemann-Hilbert Problems for Generalized Analytic Functions, Functiones et Approximatio Commentarii Mathematici, vol.40, issue.2, pp.185-208, 2009. ,
DOI : 10.7169/facm/1246454028
URL : http://projecteuclid.org/download/pdf_1/euclid.facm/1246454028
Approximation dans des classes de fonctions analytiques généralisées et résolution deprobì emes inverses pour les tokamaks, 2011. ,
Solutions to conjugate Beltrami equations and approximation in generalized Hardy spaces, Advances in Pure and Applied Mathematics, vol.2, issue.1, pp.47-63, 2010. ,
DOI : 10.1515/apam.2010.026
URL : https://hal.archives-ouvertes.fr/hal-00798959
Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domains, Applied and Computational Harmonic Analysis, vol.31, issue.2, pp.31-264, 2011. ,
DOI : 10.1016/j.acha.2011.01.003
URL : https://hal.archives-ouvertes.fr/inria-00460820
Some inverse problems around the tokamak <em>Tore Supra</em>, Communications on Pure and Applied Analysis, vol.11, issue.6, pp.2327-2349, 2012. ,
DOI : 10.3934/cpaa.2012.11.2327
URL : http://arxiv.org/abs/1104.4454
Lectures on Riemann surfaces, Grad. Texts in Maths, 1981. ,
Bounded analytic functions, Pure and Applied Math, 1981. ,
Modern Fourier Analysis, Grad. Texts in Maths, 2009. ,
DOI : 10.1007/978-0-387-09434-2
Elliptic partial differential equations of second order, 1983. ,
Elliptic problems in non-smooth domains, 1985. ,
Classes of analytic functions in multiply connected domains , Researches on contemporary problems of the theory of functions of a complex variable, Russian); French transl. in Fonctions d'une variable complexe. Problemes contemporains, pp.45-77, 1960. ,
The Inhomogeneous Dirichlet Problem in Lipschitz Domains, Journal of Functional Analysis, vol.130, issue.1, pp.161-219, 1995. ,
DOI : 10.1006/jfan.1995.1067
Hardy classes of generalized analytic functions, Izvestia Vuzov Sev.-Kav. Reg., Natural Science, vol.3, pp.6-10, 2003. ,
Riemann?Hilbert boundary value problem in the Hardy classes of generalized analytic functions, Izvestia Vuzov Sev, Kav. Reg., Natural Science, vol.4, pp.3-5, 2004. ,
Duality theorem for the Hardy classes of generalized analytic functions, Complex Anal, Op. Theory., Math. Sim., Vladikavkaz Sc. Center of Russian Acad. Sc, pp.63-73, 2006. ,
Riemann?Hilbert boundary value problem for generalized analytic functions in Smirnov classes, Global and Stoch, Anal, vol.1, pp.217-240, 2011. ,
Applied Pseudoanalytic Function Theory, Frontiers in Math, 2009. ,
DOI : 10.1007/978-3-0346-0004-0
Szeg?? and Bergman projections on non-smooth planar domains, Journal of Geometric Analysis, vol.34, issue.1, pp.63-86, 2004. ,
DOI : 10.1007/BF02921866
The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficient, J. d'Analyse Math, vol.110, pp.167-239, 2010. ,
A sharp form of an inequality by N. Trudinger, Indiana Univ, Math. J, vol.20, pp.1077-1092, 1970. ,
On some extreme properties of generalized analytic functions, English transl. in Sov. Math. Dokl, vol.13, pp.289-292, 1972. ,
A contribution to the theory of Vekua's generalized analytic functions, Transl. Amer. Maths. Soc, vol.122, issue.2, 1984. ,
Potential Theory in the Complex plane, Soc. Student Texts, vol.28, 1995. ,
DOI : 10.1017/CBO9780511623776
Sharp results in the integral-form John???Nirenberg inequality, Transactions of the American Mathematical Society, vol.363, issue.08, pp.4135-4169, 2011. ,
DOI : 10.1090/S0002-9947-2011-05112-3
Singular integrals and differentiability properties of functions, 1970. ,
Generalized Analytic Functions, 1962. ,
Recent progress in theory and applications of modern complex analysis, 2010. ,
Weakly Differentiable Functions, Grad. Texts in Math, 1989. ,
DOI : 10.1007/978-1-4612-1015-3
06902 Sophia-Antipolis Cedex, France E-mail address: Laurent.Baratchart@inria.fr A, p.13453 ,
06902 Sophia-Antipolis Cedex, France E-mail address: Slah.Chaabi@inria ,