On the operators of Hardy-Littlewood-P\'olya type
Functional Analysis
2024-09-19 v9
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 . 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.
Keywords
Cite
@article{arxiv.2205.07599,
title = {On the operators of Hardy-Littlewood-P\'olya type},
author = {Jianjun Jin},
journal= {arXiv preprint arXiv:2205.07599},
year = {2024}
}
Comments
Accepted by Journal of Applied Analysis and Computation