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??? |
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頁(從 - 到) | 442-460 |
頁數 | 19 |
期刊 | Journal of Functional Analysis |
卷 | 188 |
發行號 | 2 |
DOIs | |
出版狀態 | 已出版 - 1 2月 2002 |