On a Hilbert-Type Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function

被引：1
作者：
Michael Th. Rassias
Bicheng Yang
机构：
[1] University of Zurich,Institute of Mathematics
[2] Moscow Institute of Physics and Technology,Department of Mathematics
[3] Institute for Advanced Study,undefined
[4] Program in Interdisciplinary Studies,undefined
[5] Guangdong University of Education,undefined
来源：
Complex Analysis and Operator Theory | 2019年 / 13卷
关键词：
Hilbert-type integral inequality; Kernel; Weight function; Equivalent form; Operator; Norm; 26D15; 47A07; 65B10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present paper, a few equivalent conditions of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The best possible constant factor is related to the extended Riemann zeta function. In the form of applications, a few equivalent conditions of a Hilbert-type integral inequality with the homogeneous kernel in the whole plane are deduced. We also consider the operator expressions and a few particular cases.
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页码：1765 / 1782
页数：17
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