Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane

By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The constant factor related to the beta function is proved to be the best possible. As applications,...

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Bibliographic Details
Main Authors: Dongmei Xin, Bicheng Yang, Aizhen Wang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/2691816
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