Necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and its application in operator theory

By Yong Hong, Bing He, Bicheng Yang. 2018

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By using real analysis technique and the method of weight functions, the necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and the best constant factors are obtained, and its applications in operator theory are discussed. Mathematics subject classification (2010): 26D15, 47A07.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/26b04d7c855d0e92a27cce7c842abc7e6bd3a202