The boundedness of Calderón-Zygmund operators by wavelet characterization

Cheng Cong Hung, Ming Yi Lee

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

This article deals with the boundedness properties of Calderón-Zygmund operators on Hardy spaces H p(ℝ n). We use wavelet characterization of H p(ℝ n) to show that a Calderón-Zygmund operator T with T*1 = 0 is bounded on H p(ℝ n), 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.

原文???core.languages.en_GB???
頁(從 - 到)1237-1248
頁數12
期刊Acta Mathematica Sinica, English Series
28
發行號6
DOIs
出版狀態已出版 - 6月 2012

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