带变量核的奇异积分算子的加权不等式

Weighted Inequality For Singular Integral Operators with Variable Kernels

利用核函数Ω(x,y)的性质,讨论了带变量核奇异积分算子T(f)的相关性质,并得到了当核函数Ω满足Dini型条件时该类算子的加权不等式,从而推广了以往非变量核的结果.

By the propeties of the function Ω（x, y）, the relevant properties of the singular inte- gral operators with variable kernels T（f） are discussed,and the weighed inequalities results are obtained for this kind of operators when the kernel function satisfying the Dini condition,which extends no-variable kernel results that have been achieved in previous research.