Weighted hardy spaces associated to para-accretive functions

Sen Hua Lan, Chin Cheng Lin

研究成果: 雜誌貢獻期刊論文同行評審

摘要

In this article, after establishing weighted Plancherel-Pôlya-type inequalities, we introduce a new class of weighted Hardy spaces Hb,wp by using g-function, where w is a Muckenhoupt's weight and b is a para-accretive function. Then we show the atomic decomposition and molecular characterization of Hb,wp. As applications, we prove the boundedness of Calderón-Zygmund operators between Hb,wp and classical weighted Hardy spaces Hwp.

原文???core.languages.en_GB???
頁(從 - 到)1055-1078
頁數24
期刊Taiwanese Journal of Mathematics
14
發行號3 B
DOIs
出版狀態已出版 - 6月 2010

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