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arXiv · 1105.2888

Sharp Estimates for $p$-Adic Hardy, Hardy-Littlewood-P\'olya Operators and Commutators

Zunwei Fu·Qingyan Wu·Shanzhen Lu
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Abstract

In this paper we get the sharp estimates of the $p$-adic Hardy and Hardy-Littlewood-P\'olya operators on $L^q(|x|^{\alpha}_pdx)$. Also, we prove that the commutators generated by the $p$-adic Hardy operators (Hardy-Littlewood-P\'olya operators) and the central BMO functions are bounded on $L^q(|x|^{\alpha}_pdx)$, more generally, on Herz spaces.

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Zunwei Fu, Qingyan Wu, Shanzhen Lu. 2011-05-14. Sharp Estimates for $p$-Adic Hardy, Hardy-Littlewood-P\'olya Operators and Commutators. https://arxiv.org/abs/1105.2888

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