Chinese Quarterly Journal of Mathematics >

2024 , Vol. 39 >Issue 1: 59 - 67

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2024.01.005

Boundedness of Integral and Discrete Operators Between Two Types of Weighted Spaces and Estimation of Operator Norm

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  • School of Data Science, Guangzhou Huashang College, Guangzhou 511300, China
HONG Yong (1959-), male, native of Guangzhou, Guangdong, professor of Guangzhou Huashang College, engages in harmonic analysis and analytical inequalities.

Received date: 2022-07-08

  Online published: 2024-03-13

Supported by

Supported by Guangdong Basic and Applied Basic Research Foundation (Grant No. 2022A1515012429); Guangzhou Huashang College Research Team Project (Grant No. 2021HSKT03).

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Abstract

Using the weight coefficient method, we first discuss semi-discrete Hilbert-type inequalities, and then discuss boundedness of integral and discrete operators and operator norm estimates based on Hilbert-type inequalities in weighted Lebesgue space and weighted normed sequence space.

Key words： Weighted Lebesgue space; Weighted normed sequence space; Semi-discrete Hilbert-type inequalities; Integral operator; Discrete operator; Bounded operator; Opera-tor norm

Cite this article

HONG Yong, ZHAO Qian . Boundedness of Integral and Discrete Operators Between Two Types of Weighted Spaces and Estimation of Operator Norm[J]. Chinese Quarterly Journal of Mathematics, 2024 , 39(1) : 59 -67 . DOI: 10.13371/j.cnki.chin.q.j.m.2024.01.005

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