序列空间l和函数空间 L 之间具有齐次核的 Hilbert 型算子有界的参数条件

doi:10.13371/j.cnki.chin.q.j.m.2022.01.010

数学季刊 ›› 2022, Vol. 37 ›› Issue (1): 94-102.doi: 10.13371/j.cnki.chin.q.j.m.2022.01.010

序列空间l和函数空间 L 之间具有齐次核的 Hilbert 型算子有界的参数条件

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

收稿日期:2021-10-19 出版日期:2022-03-30 发布日期:2022-03-30
通讯作者: FENG Ming-jun (1976-), male, native of Huangmei, Hubei, lecturer of Guangdong University of Education, engages in analytical inequalities. E-mail: fengmingjun100@163.com
作者简介:HONG Yong (1959-), male, native of Zhaotong, Yunnan, professor of Guangzhou Huashang College, engages in harmonic analysis and analytical inequalities; FENG Ming-jun (1976-), male, native of Huangmei, Hubei, lecturer of Guangdong University of Education, engages in analytical inequalities.
基金资助:
Supported by Guangdong Basic and Applied Basic Research Foundation Natural Science Foundation (Grant No. 2021A1515010055);

Guangzhou Science and Technology Plan Project (Grant No. 202102080177).

Parameter Conditions for Hilbert-Type Operator Bounded with Homogeneous Kernels between Sequence Space l and Function Space L

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

Received:2021-10-19 Online:2022-03-30 Published:2022-03-30
Contact: FENG Ming-jun (1976-), male, native of Huangmei, Hubei, lecturer of Guangdong University of Education, engages in analytical inequalities. E-mail: fengmingjun100@163.com
About author:HONG Yong (1959-), male, native of Zhaotong, Yunnan, professor of Guangzhou Huashang College, engages in harmonic analysis and analytical inequalities; FENG Ming-jun (1976-), male, native of Huangmei, Hubei, lecturer of Guangdong University of Education, engages in analytical inequalities.
Supported by:
Supported by Guangdong Basic and Applied Basic Research Foundation Natural Science Foundation (Grant No. 2021A1515010055);

Guangzhou Science and Technology Plan Project (Grant No. 202102080177).

摘要/Abstract

摘要： By using the technique of real analysis, the parameter conditions for Hilbert-type series operator and integral operator......

关键词: Hilbert-type series operator, Hilbert-type integral operator, Mixed Hilbert-type inequality, Bounded operator, Operator norm, Homogeneous kernel

Abstract: By using the technique of real analysis, the parameter conditions for Hilbert-type series operator and integral operator......

Key words: Hilbert-type series operator, Hilbert-type integral operator, Mixed Hilbert-type inequality, Bounded operator, Operator norm, Homogeneous kernel

中图分类号:

O178

洪勇, 冯明军.

序列空间l和函数空间 L 之间具有齐次核的 Hilbert 型算子有界的参数条件 [J]. 数学季刊, 2022, 37(1): 94-102.

HONG Yong, FENG Ming-jun. Parameter Conditions for Hilbert-Type Operator Bounded with Homogeneous Kernels between Sequence Space l and Function Space L[J]. Chinese Quarterly Journal of Mathematics, 2022, 37(1): 94-102.

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序列空间l和函数空间 L 之间具有齐次核的 Hilbert 型算子有界的参数条件

Parameter Conditions for Hilbert-Type Operator Bounded with Homogeneous Kernels between Sequence Space l and Function Space L

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