The Boundedness of CalderSn-Zygmund Operators by Wavelet Characterization

This article deals with the boundedness properties of Calderdn-Zygmund operators on Hardy spaces Hp（Rn）. We use wavelet characterization of H^P（R^n） to show that a Calderon-Zygmund operator T with T＊1 =0 is bounded on H6P（R^n）, n/n＋ε zju. edu. cn 〈 p 〈 1, where ε is the regular exponent of kernel of...

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Bibliographic Details
Published in数学学报：英文版 Vol. 28; no. 6; pp. 1237 - 1248
Main Author Cheng-Cong HUNG Ming-Yi LEE
Format Journal Article
LanguageEnglish
Published 2012
Subjects
d算子
Hardy空间
小波
有界性
浙江大学
表征
运营商
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Summary:This article deals with the boundedness properties of Calderdn-Zygmund operators on Hardy spaces Hp（Rn）. We use wavelet characterization of H^P（R^n） to show that a Calderon-Zygmund operator T with T＊1 =0 is bounded on H6P（R^n）, n/n＋ε zju. edu. cn 〈 p 〈 1, where ε is the regular exponent of kernel of T. This approach can be applied to the boundedness of operators on certain Hardy spaces without atomic decomposition or molecular characterization.
Bibliography:This article deals with the boundedness properties of Calderdn-Zygmund operators on Hardy spaces Hp（Rn）. We use wavelet characterization of H^P（R^n） to show that a Calderon-Zygmund operator T with T＊1 =0 is bounded on H6P（R^n）, n/n＋ε zju. edu. cn 〈 p 〈 1, where ε is the regular exponent of kernel of T. This approach can be applied to the boundedness of operators on certain Hardy spaces without atomic decomposition or molecular characterization.
11-2039/O1
Calderdn Zygmund operators, Hardy spaces, para-product operators
ISSN:1439-8516
1439-7617