Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets /

The authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local T(b) theorem and applying it to show that such estimates are stable under the so-called big pieces functor. More generally, they consider integral operators associated with Ahlfors...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Hofmann, Steve, 1958-, Mitrea, Dorina, 1965-, Mitrea, Marius, Morris, Andrew J. (Andrew Jordan)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2017.
Colección:Memoirs of the American Mathematical Society ; Volume 245, no. 1159 (fourth of 6 numbers)
Temas:
Homogeneous spaces.
Lie groups.
Function spaces.
Geometric measure theory.
Espaces homogènes.
Groupes de Lie.
Espaces fonctionnels.
Théorie de la mesure géométrique.
MATHEMATICS > Topology.
Function spaces
Geometric measure theory
Homogeneous spaces
Lie groups
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Chapter 1. Introduction Chapter 2. Analysis and Geometry on Quasi-Metric Spaces Chapter 3. $T(1)$ and local $T(b)$ Theorems for Square Functions Chapter 4. An Inductive Scheme for Square Function Estimates Chapter 5. Square Function Estimates on Uniformly Rectifiable Sets Chapter 6. $L^p$ Square Function Estimates Chapter 7. Conclusion.

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