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On a Hilbert-Type Operator with a Symmetric Homogeneous Kernel of1-Order and Applications

Abstract

Some character of the symmetric homogenous kernel of1-order in Hilbert-type operator is obtained. Two equivalent inequalities with the symmetric homogenous kernel of-order are given. As applications, some new Hilbert-type inequalities with the best constant factors and the equivalent forms as the particular cases are established.

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Correspondence to Bicheng Yang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Yang, B. On a Hilbert-Type Operator with a Symmetric Homogeneous Kernel of1-Order and Applications. J Inequal Appl 2007, 047812 (2007). https://doi.org/10.1155/2007/47812

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