THE BEST MATCHING PARAMETERS AND NORM CALCULATION OF BOUNDED OPERATORS WITH SUPER-HOMOGENEOUS KERNEL

Qian Zhao; Yong Hong; Bing He

doi:10.11948/20230165

2023 Volume 13 Issue 6

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Qian Zhao, Yong Hong, Bing He. THE BEST MATCHING PARAMETERS AND NORM CALCULATION OF BOUNDED OPERATORS WITH SUPER-HOMOGENEOUS KERNEL[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3592-3605. doi: 10.11948/20230165

Citation:

Qian Zhao, Yong Hong, Bing He. THE BEST MATCHING PARAMETERS AND NORM CALCULATION OF BOUNDED OPERATORS WITH SUPER-HOMOGENEOUS KERNEL[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3592-3605. doi: 10.11948/20230165

THE BEST MATCHING PARAMETERS AND NORM CALCULATION OF BOUNDED OPERATORS WITH SUPER-HOMOGENEOUS KERNEL

1.
Department of Applied Mathematics, Guangzhou Huashang College, Guangzhou, Guangdong 511300, China
2.
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, China

Author Bio: Email: eunicezhao_777@163.com(Q. Zhao); Email: hongyonggdcc@yeah.net(Y. Hong)
Corresponding author: Email: hzs314@163.com(B. He)
Fund Project: The authors were supported by Guangzhou Huashang College Daoshi Project (No. 2023HSDS10), Guangdong Basic and Applied Basic Research Fund (Nos. 2022A1515012429, 2021A1515010055) and Key Construction Discipline Scientific Research Ability Promotion Project of Guangdong Province (No. 2021ZDJS055)

Abstract

Abstract

The concept of super-homogeneous function is introduced, sufficient and necessary condition for best matching parameters of bounded operator with super-homogeneous kernel is discussed, the norm formula for mutual mapping operators between weighted Lebesgue function space and weighted normed sequence space is obtained, and some special cases are given.
- Super-homogeneous kernel /
- bounded operator /
- operator norm /
- weighted Lebesgue space /
- weighted normed sequence space /
- best matching parameters /
- Hilbert-type semi-discrete inequality
MSC: 26D15, 26D10

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References

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