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Opérateurs de multiplication ponctuelle entre espace de Sobolev

Abstract : The objective of this thesis is to give the fundamental tools of the theory of the pointwise multipliers based mainly on the theory of the Fourier transform and of tempered distributions, and to give it applications in the theory of PDE's. The study of the multipliers pointwise examines in what condition we have the capacitary inequality. Such inequalities are used in the study of the differential operators with irregular coefficients. This inequality was study extensively in spectral theory and scattering of the Schrodinger operators. The main purpose of this thesis is to generalize the result of Maz'ya -Verbitsky. The use tools are the theory of singular integrals, the paraproducts operators, the Littelewood-Paley theor, the theory of capacity and weight of Muckenhoupt.
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Contributor : Sadek Gala <>
Submitted on : Thursday, June 23, 2005 - 10:51:56 AM
Last modification on : Friday, April 19, 2019 - 1:48:31 AM
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  • HAL Id : tel-00009577, version 1



Sadek Gala. Opérateurs de multiplication ponctuelle entre espace de Sobolev. Mathématiques [math]. Université d'Evry-Val d'Essonne, 2005. Français. ⟨tel-00009577⟩



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