ON THE OPERATORS OF HARDY-LITTLEWOOD-PÓLYA TYPE

Jianjun Jin

doi:10.11948/20240123

2025 Volume 15 Issue 1

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Jianjun Jin. ON THE OPERATORS OF HARDY-LITTLEWOOD-PÓLYA TYPE[J]. Journal of Applied Analysis & Computation, 2025, 15(1): 470-487. doi: 10.11948/20240123

Citation:

Jianjun Jin. ON THE OPERATORS OF HARDY-LITTLEWOOD-PÓLYA TYPE[J]. Journal of Applied Analysis & Computation, 2025, 15(1): 470-487. doi: 10.11948/20240123

ON THE OPERATORS OF HARDY-LITTLEWOOD-PÓLYA TYPE

Jianjun Jin^1, ,

1.
School of Mathematics Sciences, Hefei University of Technology, Xuancheng Campus, Xuancheng 242000, China

Corresponding author: Email: jin@hfut.edu.cn(J. Jin)

Abstract

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.
- Hardy-Littlewood-Pólya-type operators /
- boundedness of operator /
- compactness of operator /
- norm of operator /
- generalized Carleson measure
MSC: 47B37, 26D15, 47A30

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References

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