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

HONG Yong, FENG Ming-jun

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

Chinese Quarterly Journal of Mathematics >

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

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2022.01.010

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

Expand

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.

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).

Fold

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

Cite this article

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

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article