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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Hlavní autoři: Lu, Guozhen, Shen, Jiawei, Zhang, Lu
Médium: E-kniha Kniha
Jazyk:angličtina
Vydáno: Providence, Rhode Island American Mathematical Society 2023
Vydání:1
Edice:Memoirs of the American Mathematical Society
Témata:
Hardy spaces
Littlewood-Paley theory
Singular integrals
multi-parameter Hardy spaces
singular Radon transforms
Calderón-Zygmund operators
discrete Littlewood-Paley-Stein theory
Multi-parameter dilations
ISBN:9781470455378, 1470455374
ISSN:0065-9266, 1947-6221
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Abstract The main purpose of this paper is to establish the theory of the multi-parameter Hardy spaces More precisely, Street (2014) studied the
AbstractList View the abstract.
The main purpose of this paper is to establish the theory of the multi-parameter Hardy spaces More precisely, Street (2014) studied the
Author Shen, Jiawei
Lu, Guozhen
Zhang, Lu
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Copyright Copyright 2023 American Mathematical Society
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DOI 10.1090/memo/1388
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Keywords multi-parameter Hardy spaces
singular Radon transforms
Calderón-Zygmund operators
discrete Littlewood-Paley-Stein theory
Multi-parameter dilations
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Notes Other authors: Jiawei Shen, Lu Zhang
Includes bibliographical references (p. 83-87)
January 2023, volume 281, number 1388 (third of 6 numbers)
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Snippet The main purpose of this paper is to establish the theory of the multi-parameter Hardy spaces More precisely, Street (2014) studied the
View the abstract.
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SubjectTerms Hardy spaces
Littlewood-Paley theory
Singular integrals
TableOfContents 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
Title Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals
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