• Teoria dos operadores integrais singulares 

      Dalcy, Muriel Andreane (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 28/04/2020)
      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 ...
    • Espaços de Hardy e compacidade compensada 

      Souza, Osmar do Nascimento (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 13/03/2014)
      This work is divided into two parts. In the first part, our goal is to present the theory of Hardy Spaces Hp(Rn), which coincides with the Lebesgue space Lp(Rn) for p > 1, is strictly contained in Lp(Rn) if p = 1, and is ...
    • Resolubilidade contínua e singularidades removíveis para a equação divergente 

      Biliatto, Victor Sandrin (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 12/08/2019)
      In this text we study some results obtained by Nguyen Cong Phuc and Monica Torres in the paper "Characterizations of the Existence and Removable Singularities of Divergence-measure Vector Fields" regarding the characterisation ...
    • Operadores de Calderón-Zygmund e o teorema T1 

      Prado, Roxana Bedoya (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 14/04/2009)
      In this work, we present necessary and suficient conditions for that an operator of Calderón-Zygmund type can be extended to a bounded operator on L2. By using results of interpolation and cancellation conditions on the ...
    • Operadores de Calderón-Zygmund e o Teorema T(1) 

      Silva, Pedro Henrique Takemura Feitosa da (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 26/05/2021)
      The purpose of this work is to present, in a detailed way, one of the main topics of Harmonic Analysis: the singular integral operators or, in its general form, the Calderón-Zygmund operators. We did here, for the most ...
    • Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy 

      Vasconcelos Filho, Claudio Henrique Machado (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 09/03/2018)
      The purpose of this work is to study the Hardy spaces Hp(Rn) on euclidean spaces and your localized version, known as hp(Rn). As an application of this theory, we are going to show that Calderón-Zygmund and pseudo-differential ...