Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces A Sharp Theory /

Systematically building an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Ahlfors-regular quasi-metric spaces. The text is broadly divided into two main parts. The first part gives atomic, molecular, and grand maximal function characterizati...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Alvarado, Ryan (Autor), Mitrea, Marius (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Lecture Notes in Mathematics, 2142
Temas:
Fourier analysis.
Functions of real variables.
Functional analysis.
Measure theory.
Differential equations.
Fourier Analysis.
Real Functions.
Functional Analysis.
Measure and Integration.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction. - Geometry of Quasi-Metric Spaces
  • Analysis on Spaces of Homogeneous Type
  • Maximal Theory of Hardy Spaces
  • Atomic Theory of Hardy Spaces
  • Molecular and Ionic Theory of Hardy Spaces
  • Further Results
  • Boundedness of Linear Operators Defined on Hp(X)
  • Besov and Triebel-Lizorkin Spaces on Ahlfors-Regular Quasi-Metric Spaces.

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