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 bound...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.展开更多
基金Supported by National Science Council of Taiwan under Grant #NSC 99-2115-M-008-002-MY3
文摘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.
