On a Hilbert-Type Operator with a Symmetric Homogeneous Kernel of Open image in new window 1-Order and Applications
- 493 Downloads
Some character of the symmetric homogenous kernel of Open image in new window 1-order in Hilbert-type operator Open image in new window is obtained. Two equivalent inequalities with the symmetric homogenous kernel of Open image in new window -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.
KeywordsConstant Factor Equivalent Form Homogenous Kernel Equivalent Inequality Good Constant Factor
- 6.Yang B: On the norm of a certain self-adjiont integral operator and applications to bilinear integral inequalities. to appear in Taiwanese Journal of Mathematics to appear in Taiwanese Journal of MathematicsGoogle Scholar
- 7.Wang Z, Gua D: An Introduction to Special Functions. Science Press, Bejing, China; 1979.Google Scholar
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.