A New Hilbert-type Inequality with the Integral in Whole Plane

• Journal title : Kyungpook mathematical journal
• Volume 52, Issue 3,  2012, pp.291-298
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2012.52.3.291
Title & Authors
A New Hilbert-type Inequality with the Integral in Whole Plane
Xie, Zitian; Zeng, Zheng;

Abstract
In this paper, by estimating the weight function, we give a new Hilbert-type inequality with the integral in whole plane. As its applications, we consider the equivalent and a particular result.
Keywords
Hilbert-type integral inequality;weight function;H$\small{\ddot{o}}$lder`s inequality;equivalent form;
Language
English
Cited by
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