On a Hilbert-Type Operator with a Symmetric Homogeneous Kernel of Open image in new window 1-Order and Applications
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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
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