Year: 2013
Author: Hua Wang
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 3 : pp. 221–233
Abstract
Let $w$ be a Muckenhoupt weight and $H^p_w(\mathbb R^n)$ be the weighted Hardy space. In this paper, by using the atomic decomposition of $H^p_w(\mathbb R^n)$, we will show that the Bochner-Riesz operators $T^\delta_R$ are bounded from $H^p_w(\mathbb R^n)$ to the weighted weak Hardy spaces $WH^p_w(\mathbb R^n)$ for $0 < p < 1$ and $\delta=n/p-(n+1)/2$. This result is new even in the unweighted case.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2013.v29.n3.3
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 3 : pp. 221–233
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Bochner-Riesz operator weighted Hardy space weighted weak Hardy space $A_p$ weight atomic decomposition.