Convolution operators on the weighted Herz-type Hardy spaces

研究成果: 雜誌貢獻期刊論文同行評審

5 引文 斯高帕斯(Scopus)

摘要

A molecular characterization of the weighted Herz-type Hardy spaces H Kqn(1/p-1/q),p (w, w) and H Kqn(1/p-1/q),p (w, w) is given, by which the boundedness of the Hilbert transform and the Riesz transforms are proved on these space for 0 < p ≤ 1. These results are obtained by first deriving that the convolution operator T f = k * f is bounded on the weighted Herz-type Hardy spaces.

原文???core.languages.en_GB???
頁(從 - 到)197-210
頁數14
期刊Journal of Approximation Theory
138
發行號2
DOIs
出版狀態已出版 - 2月 2006

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