Teoria dos operadores integrais singulares

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2020-04-28

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Universidade Federal de São Carlos

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Abstract

We present in this work some of the main results regarding the continuity in Lp and the definition almost everywhere of operators known as Singular Integrals, as well as some classic examples and applications. We have utilized as the main reference for this work the book "Singular Integrals and Differentiability Properties of Functions" by Elias M. Stein.

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Análise harmônica , Integrais singulares , Decomposição de Calderón-Zygmund , Transformada de Riesz , Harmonic analysis , Singular integrals , Calderón-Zygmund decomposition , Riesz transform

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DALCY, Muriel Andreane. Teoria dos operadores integrais singulares. 2020. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2020. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/12948.

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https://repositorio.ufscar.br/handle/20.500.14289/12948

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Attribution-NonCommercial-NoDerivs 3.0 Brazil
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Brazil