On a Hilbert-type integral inequality in the whole plane with the equivalent forms

被引：0
作者：
B. C. Yang
D. Andrica
O. Bagdasar
M. Th. Rassias
机构：
[1] Guangdong University of Education,Department of Mathematics
[2] Babeş-Bolyai University,Faculty of Mathematics and Computer Science
[3] University of Derby,School of Computing and Engineering
[4] Hellenic Military Academy,Department of Mathematics and Engineering Sciences
[5] Institute for Advanced Study,undefined
[6] Program in Interdisciplinary Studies,undefined
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2023年 / 117卷
关键词：
Hilbert-type integral inequality; Weight function; Equivalent form; Operator; Norm; 26D15; 47A05;
D O I：
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中图分类号：
学科分类号：
摘要：
In the present paper we establish a few equivalent conditions of a Hilbert-type integral inequality with a non-homogeneous kernel in the whole plane. A few equivalent conditions of a Hilbert-type integral inequality with the homogeneous kernel in the whole plane are deduced, in the form of applications. We additionally consider operator expressions and several interesting particular cases.
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