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...
Main Authors: | , |
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Corporate Author: | |
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