Calderón-Zygmund Operators on Weighted Hardy Spaces

Ming Yi Lee

doi:10.1007/s11118-012-9293-x

Calderón-Zygmund Operators on Weighted Hardy Spaces

Ming Yi Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We study the boundedness of Calderón-Zygmund operators on weighted Hardy spaces H_w^p using Littlewood-Paley theory. It is shown that if a Calderón-Zygmund operator T satisfies T*1 = 0, then T is bounded on H_w^p for w ∈ A_P(1+ε/n) and n/n+ε < p ≤ 1, where ε is the regular exponent of the kernel of T.

Original language	English
Pages (from-to)	699-709
Number of pages	11
Journal	Potential Analysis
Volume	38
Issue number	3
DOIs	https://doi.org/10.1007/s11118-012-9293-x
State	Published - Apr 2013

Keywords

Calderón-Zygmund operators
Littlewood-Paley theory
Weighted Hardy spaces

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title = "Calder{\'o}n-Zygmund Operators on Weighted Hardy Spaces",

abstract = "We study the boundedness of Calder{\'o}n-Zygmund operators on weighted Hardy spaces Hwp using Littlewood-Paley theory. It is shown that if a Calder{\'o}n-Zygmund operator T satisfies T*1 = 0, then T is bounded on Hwp for w ∈ AP(1+ε/n) and n/n+ε < p ≤ 1, where ε is the regular exponent of the kernel of T.",

keywords = "Calder{\'o}n-Zygmund operators, Littlewood-Paley theory, Weighted Hardy spaces",

author = "Lee, {Ming Yi}",

note = "Funding Information: Research by author supported by NSC of Taiwan under Grant #NSC 99-2115-M-008-002-MY3.",

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N2 - We study the boundedness of Calderón-Zygmund operators on weighted Hardy spaces Hwp using Littlewood-Paley theory. It is shown that if a Calderón-Zygmund operator T satisfies T*1 = 0, then T is bounded on Hwp for w ∈ AP(1+ε/n) and n/n+ε < p ≤ 1, where ε is the regular exponent of the kernel of T.

AB - We study the boundedness of Calderón-Zygmund operators on weighted Hardy spaces Hwp using Littlewood-Paley theory. It is shown that if a Calderón-Zygmund operator T satisfies T*1 = 0, then T is bounded on Hwp for w ∈ AP(1+ε/n) and n/n+ε < p ≤ 1, where ε is the regular exponent of the kernel of T.

KW - Calderón-Zygmund operators

KW - Littlewood-Paley theory

KW - Weighted Hardy spaces

UR - http://www.scopus.com/inward/record.url?scp=84875402185&partnerID=8YFLogxK

U2 - 10.1007/s11118-012-9293-x

DO - 10.1007/s11118-012-9293-x

M3 - 期刊論文

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SP - 699

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JO - Potential Analysis

JF - Potential Analysis

IS - 3

ER -

Calderón-Zygmund Operators on Weighted Hardy Spaces

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