Weighted norm inequalities of Bochner-Riesz means

研究成果: 雜誌貢獻期刊論文同行評審

16 引文 斯高帕斯(Scopus)

摘要

Let w be a Muckenhoupt weight and Hwp (Rn) be the weighted Hardy spaces. We use the atomic decomposition of Hwp (Rn) and their molecular characters to show that the Bochner-Riesz means TRδ are bounded on Hwp (Rn) for 0 < p ≤ 1 and δ > max {n / p - (n + 1) / 2, [n / p] rw (rw - 1)-1 - (n + 1) / 2}, where rw is the critical index of w for the reverse Hölder condition. We also prove the Hwp - Lwp boundedness of the maximal Bochner-Riesz means T*δ for 0 < p ≤ 1 and δ > n / p - (n + 1) / 2.

原文???core.languages.en_GB???
頁(從 - 到)1274-1281
頁數8
期刊Journal of Mathematical Analysis and Applications
324
發行號2
DOIs
出版狀態已出版 - 15 12月 2006

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