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arXiv · 2205.07599

On the operators of Hardy-Littlewood-P\'olya type

Jianjun Jin
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Abstract

In this paper we introduce and study several new Hardy-Littlewood-P\'olya-type operators. In particular, we study a Hardy-Littlewood-P\'olya-type operator induced by a positive Borel measure on $[0,1)$. We establish some sufficient and necessary conditions for the boundedness (compactness) of these operators. We also determine the exact values of the norms of the Hardy-Littlewood-P\'olya-type operators for certain special cases.

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Jianjun Jin. 2022-05-16. On the operators of Hardy-Littlewood-P\'olya type. https://arxiv.org/abs/2205.07599

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