Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals
The main purpose of this paper is to establish the theory of the multi-parameter Hardy spaces More precisely, Street (2014) studied the
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| Main Authors: | , , |
|---|---|
| Format: | eBook Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
2023
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| Edition: | 1 |
| Series: | Memoirs of the American Mathematical Society |
| Subjects: | |
| ISBN: | 9781470455378, 1470455374 |
| ISSN: | 0065-9266, 1947-6221 |
| Online Access: | Get full text |
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Table of Contents:
- Introduction -- Single-parameter theory -- Multi-parameter setting: Product theory -- General multi-parameter singular integrals and Hardy spaces
- Cover -- Title page -- Chapter 1. Introduction -- Acknowledgments -- Chapter 2. Single-parameter theory -- 2.1. Singular integral operators and elementary operators -- 2.2. Discrete Littlewood-Paley-Stein theory and Hardy spaces -- 2.3. Endpoint estimate for one-parameter singular integrals -- Chapter 3. Multi-parameter setting: Product theory -- 3.1. Product singular integral operators -- 3.2. Hardy spaces on the product space -- 3.3. Endpoint estimates on product singular integrals -- Chapter 4. General multi-parameter singular integrals and Hardy spaces -- 4.1. Assumptions for vector fields -- 4.2. Multi-parameter Hardy spaces -- 4.3. ^{ } boundedness of multi-parameter singular integrals -- Bibliography -- Back Cover