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

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 Hilberttype 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, Operator 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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