Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane

Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane

By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The constant factor related the beta function is proved to be the best possible. As applications, the case of the homogeneous kernel, the operator expressions and a few corollaries are considered.

Author(s) Details

Bicheng Yang
Department of Mathematics, Guangdong University and of Education, Guangzhou, Guangdong 510303, P. R. China.

View Book :- http://bp.bookpi.org/index.php/bpi/catalog/book/182

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