The Boundedness of Calderón-Zygmund Operators by Wavelet Characterization 被引量：1

The Boundedness of Calderón–Zygmund Operators by Wavelet Characterization

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摘要 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. 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.

作者 Cheng-Cong HUNG Ming-Yi LEE

机构地区 Department of Applied Mathematics Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第6期1237-1248,共12页 数学学报（英文版）

基金 Supported by National Science Council of Taiwan under Grant #NSC 99-2115-M-008-002-MY3

关键词 Calderdn Zygmund operators Hardy spaces para-product operators Calderdn Zygmund operators, Hardy spaces, para-product operators

分类号 O177 [理学—基础数学]

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