A Hilbert-type integral inequality in the whole plane related to the kernel of exponent function

被引：1

作者：

Zhong, Yanru ^{[1
]}

Huang, Meifa ^{[2
]}

Yang, Bicheng ^{[3
]}

机构：

[1] Guilin Univ Elect Technol, Sch Comp Sci & Informat Secur, Guilin, Peoples R China

[2] Guilin Univ Elect Technol, Sch Mech Sci & Elect Engn, Guilin, Peoples R China

[3] Guangdong Univ Educ, Dept Math, Guangzhou, Guangdong, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

关键词：

Hilbert-type integral inequality; Weight function; Intermediate variable; Equivalent statement; Operator; Gamma function; OPERATOR; NORM;

D O I：

10.1186/s13660-018-1834-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using real analysis and weight functions, we obtain a few equivalent statements of a Hilbert-type integral inequality in the whole plane related to the kernel of exponent function with intermediate variables. The constant factor related to the gamma function is proved to be the best possible. We also consider some particular cases and the operator expressions.

引用

页数：14

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ANNALS OF FUNCTIONAL ANALYSIS, 2018, 9 (02) :282-295

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