An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel

Document Type: Research Paper

Author

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

Abstract

In this paper, by the use of the weight coefficients, the transfer formula and the technique of real analysis, an extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. Moreover, the equivalent forms, the operator expressions and a few examples are considered.

Keywords