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On the Operators of Hardy-littlewood-pólya Type

Year: 2025

Type: article

Abstract: In this paper several new Hardy-Littlewood-Pólya-type operators are introduced and studied. In particular, we study a Hardy-Littlewood-Pólya-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-Pólya-type operators for certain special cases.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240123

Author: Jianjun Jin

Institution: Hefei University of Technology

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411533638

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