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

doi:10.13371/j.cnki.chin.q.j.m.2024.01.005

Chinese Quarterly Journal of Mathematics ›› 2024, Vol. 39 ›› Issue (1): 59-67.doi: 10.13371/j.cnki.chin.q.j.m.2024.01.005

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

HONG Yong, ZHAO Qian

School of Data Science, Guangzhou Huashang College, Guangzhou 511300, China

Received:2022-07-08 Online:2024-03-30 Published:2024-03-13
Contact: HONG Yong (1959-), male, native of Guangzhou, Guangdong, professor of Guangzhou Huashang College, engages in harmonic analysis and analytical inequalities. E-mail: hongyonggdcc@yeah.net
About author: HONG Yong (1959-), male, native of Guangzhou, Guangdong, professor of Guangzhou Huashang College, engages in harmonic analysis and analytical inequalities.
Supported by:
Supported by Guangdong Basic and Applied Basic Research Foundation (Grant No. 2022A1515012429); Guangzhou Huashang College Research Team Project (Grant No. 2021HSKT03).

Abstract

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

CLC Number:

O178

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.

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

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