On a Hilbert-Type Integral Operator with the None-Homogeneous Kernel

Abstract

In this paper,by using the way of weight function and the technic of real analysis and functional analysis,a Hilbert-type integral operator T with the none-homogeneous kernel is defined, and the norm is obtained.As applications,two equivalent inequalities related with the norm are given,the reverse forms and some particular cases with the best constant factors are considered.