@Article{ATA-29-3, author = {Wang, Hua, }, title = {A New Estimate for Bochner-Riesz Operators at the Critical Index on Weighted Hardy Spaces}, journal = {Analysis in Theory and Applications}, year = {2013}, volume = {29}, number = {3}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n3.3}, url = {https://global-sci.com/article/74032/a-new-estimate-for-bochner-riesz-operators-at-the-critical-index-on-weighted-hardy-spaces} }