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Singular integral operators and rectifiability / Chunaev, Petr ; Tolsa Domènech, Xavier, dir. ; Mateu Bennassar, Joan, dir. ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
Los problemas que estudiamos en esta tesis se encuentran en el área de Análisis Armónico y Teoría de la Medida Geométrica. En particular, consideramos la conexión entre las propiedades analíticas de operadores integrales singulares definidos en L^2(\mu) y asociados con algunos núcleos de Calderón-Zygmund y las propiedades geométricas de la medida \mu. [...]
The problems that we study in this thesis lie in the area of Harmonic Analysis and Geometric Measure Theory. Namely, we consider the connection between the analytic properties of singular integral operators defined in L^2(\mu) and associated with some Calderón-Zygmund kernels and the geometric properties of the measure \mu. [...]
[Barcelona] : Universitat Autònoma de Barcelona, 2018.

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