| The Boundedness of Calderón-Zygmund Operators by Wavelet Characterization |
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| 基金项目： | Supported by National Science Council of Taiwan under Grant #NSC 99-2115-M-008-002-MY3Acknowledgements The authors are grateful to the referee for invaluable suggestions. |
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| 摘 要： | This article deals with the boundedness properties of Calderón-Zygmund operators on Hardy spaces Hp(Rn). We use wavelet characterization of Hp(Rn) to show that a Calderón-Zygmund operator T with T*1 = 0 is bounded on Hp(Rn), n/n+ε 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.
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| 关 键 词： | Calderón–Zygmund operators Hardy spaces para-product operators |
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