The molecular characterization of weighted Hardy spaces

研究成果: 雜誌貢獻期刊論文同行評審

45 引文 斯高帕斯(Scopus)

摘要

We first define molecules for weighted Hardy spaces and prove their molecular characters. As an application, we give sufficient conditions on the kernel k such that the convolution operator T f = k * f is bounded on weighted Hardy spaces Hwp(ℝn), w ∈ A1. We also get the Hwp(ℝ), 1/2 <p ≤ 1, boundedness of the Hilbert transform and the Hwp(ℝn), n/(n+1) < p ≤ 1, boundedness of the Riesz transforms.

原文???core.languages.en_GB???
頁(從 - 到)442-460
頁數19
期刊Journal of Functional Analysis
188
發行號2
DOIs
出版狀態已出版 - 1 2月 2002

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