Weighted bounds for a class of singular integral operators in variable exponent Herz-Morrey spaces

Yanqi Yang, Qi Wu

Let T be the singular integral operator with variable kernel defined by $Tf(x)=p.v.{\int }_{{\mathbb{R}}^n}K(x,x-y)f(y)\mathrm{d}y$ and $D^3(0\le {\hat{I}}^3\le 1)$ be the fractional differ…