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

被引：0
作者：
Yanru Zhong
Meifa Huang
Bicheng Yang
机构：
[1] Guilin University of Electronic Technology,School of Computer Science and Information Security
[2] Guilin University of Electronic Technology,School of Mechanical Science and Electrical Engineering
[3] Guangdong University of Education,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
Hilbert-type integral inequality; Weight function; Intermediate variable; Equivalent statement; Operator; Gamma function; 26D15; 31A10;
D O I：
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学科分类号：
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.
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