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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Bibliographic Details
Main Authors: Alvarado, Ryan (Author), Mitrea, Marius (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Series:Lecture Notes in Mathematics ; 2142.
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Online Access:Connect to this title online
Table of Contents:
  • 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.