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: | |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edition: | 1st ed. 2015. |
| Series: | Lecture Notes in Mathematics,
2142 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-18132-5 |
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.