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, http://id.loc.gov/vocabulary/relators/aut), Mitrea, Marius (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Book
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015
Cham : Springer, [2015]
Series:Lecture Notes in Mathematics, 2142
Lecture notes in mathematics (Springer-Verlag) ; 2142
Subjects:
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