A New Hilbert-Type Inequality In Whole Plane With The Homogeneous Kernel Of Degree 0

Xie Zitian*, Zheng Zeng**
* Department of Mathematics, Zhaoqing University, Zhaoqing & Shaoguan University, Shaoguan, Guangdong, China.
** Shaoguan University, Shaoguan, Guangdong, China.
Periodicity:January - March'2013
DOI : https://doi.org/10.26634/jmat.2.1.2159

Abstract

In this paper, by estimating the weight function, we give a new Hilbert-type inequality in whole plane with the homogeneous kernel of degree 0 . As its applications, we consider the equivalent and a particular result.

Keywords

Hilbert-type integral inequality; weight function; Holder's inequality;equivalent form

How to Cite this Article?

Xie, Z., and Zeng, Z. (2013). A New Hilbert-Type Inequality In Whole Plane With The Homogeneous Kernel Of Degree 0. i-manager’s Journal on Mathematics, 2(1), 13-20. https://doi.org/10.26634/jmat.2.1.2159

References

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