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arXiv · 2606.13976

$l^{p}-L^{q}$ boundedness of sequence-to-function Hardy-Littlewood-P\'{o}lya-type operators

Jianjun Jin
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Abstract

In this paper we deal with the boundedness of certain generalized sequence-to-function Hardy-Littlewood-P\'{o}lya-type operators. We completely characterize the $l^{p}-L^{q}$ boundedness of these operators for all $(p, q)\in [1, \infty]\times[1, \infty]$. These results complement some previous results in the literature. Our method relies on the ideas of generalized Schur's tests developed by Okikiolu, Sinnamon, Tao and Zhao.

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Jianjun Jin. 2026-06-11. $l^{p}-L^{q}$ boundedness of sequence-to-function Hardy-Littlewood-P\'{o}lya-type operators. https://arxiv.org/abs/2606.13976

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