A new estimate for Bochner-Riesz operators at the critical index on the weighted Hardy spaces

Details A new estimate for Bochner-Riesz operators at the critical index on the weighted Hardy spaces A new estimate for Bochner-Riesz operators at the critical index on the weighted Hardy spaces

2011-11-06

arxiv.org/abs/1111.1387v1

Mathematics

Classical Analysis and ODEs

14 pages

Scientific paper

Let $w$ be a Muckenhoupt weight and $H^p_w(\mathbb R^n)$ be the weighted Hardy spaces. 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 $WH^p_w(\mathbb R^n)$ when $0

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