The Hilbert-Type Integral Inequalities with a Homogeneous Kernel of −λ-Degree

By introducing an integral operator, a norm with a weight function, and two pairs of conjugate exponents, we find the conditions for the Hilbert-type integral inequalities with a homogeneous kernel of −λ-degree. We also prove that the constant factors in the inequalities are all the best pos...

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Bibliographic Details
Main Author: Wuyi Zhong
Format: Article
Language:English
Published: SpringerOpen 2008-06-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/917392