&nbsp;&nbsp;&nbsp; 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

洪勇, 冯明军

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

数学季刊 >

2022 , Vol. 37 >Issue 1: 94 - 102

DOI: https://doi.org/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

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

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.

收稿日期: 2021-10-19

网络出版日期: 2022-03-30

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).

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

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

Received date: 2021-10-19

Online published: 2022-03-30

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).

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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

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

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

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