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arXiv · 2505.09335

Boundedness and norm of certain p-adic Hardy-Littlewood-P\'{o}lya-type operators

Jianjun Jin·Huabing Li
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Abstract

In this paper, by introducing some parameters, we define and study certain $p$-adic Hardy-Littlewood-P\'{o}lya-type integral operators acting on $p$-adic weighted Lebesgue spaces. We completely characterize $L^{q}-L^{r}$ boundedness of these operators for all $(q, r)\in [1, \infty]\times[1, \infty]$. For some special cases, we obtain sharp norm estimates for the operators. These results are not only a complement to some previous results but also an extension of existing ones in the literature.

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BibTeXRIS

Jianjun Jin, Huabing Li. 2025-05-14. Boundedness and norm of certain p-adic Hardy-Littlewood-P\'{o}lya-type operators. https://arxiv.org/abs/2505.09335

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