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

Author(s):

Bicheng Yang*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

Hardy-Hilbert-type inequality , weight coefficient , equivalent form , operator , norm

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:9 Issue: 2, Summer-Autumn 2018
Pages:
131 to 143
https://magiran.com/p1921256