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A New Estimate for Bochner–Riesz Operators at the Critical Index on Weighted Hardy Spaces

A New Estimate for Bochner–Riesz Operators at the Critical Index on Weighted Hardy Spaces
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摘要 Let w be a Muckenhoupt weight and Hwp (JRn) be the weighted Hardy space. In this paper, by using the atomic decomposition of Hwp(Rn), we will show that the Bochner-Riesz operators TRδ are bounded from Hwp(Rn) to the weighted weak Hardy spaces WHwp (Rn) for 0 〈 p 〈 1 and δ = n/p- (n + 1)/2. This result is new even in the unweighted case. Let w be a Muckenhoupt weight and Hwp (JRn) be the weighted Hardy space. In this paper, by using the atomic decomposition of Hwp(Rn), we will show that the Bochner-Riesz operators TRδ are bounded from Hwp(Rn) to the weighted weak Hardy spaces WHwp (Rn) for 0 〈 p 〈 1 and δ = n/p- (n + 1)/2. This result is new even in the unweighted case.
作者 Hua Wang
出处 《Analysis in Theory and Applications》 2013年第3期221-233,共13页 分析理论与应用(英文刊)
关键词 Bochner-Riesz operator weighted Hardy space weighted weak Hardy space Ap weight atomic decomposition. Bochner-Riesz operator, weighted Hardy space, weighted weak Hardy space, Ap weight, atomic decomposition.
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