Boundedness of Singular Integral Operators on Herz-Morrey Spaces with Variable Exponent Citation： Hongbin WANG,Fanghui LIAO.Boundedness of Singular Integral Operators on Herz-Morrey Spaces with Variable Exponent[J].Chinese Annals of Mathematics B,2020,41(1):99~116 Page view： 48        Net amount： 47 Authors： Hongbin WANG; Fanghui LIAO Foundation： This work was supported by the National Natural Science Foundation of China (No.11761026), Shandong Provincial Natural Science Foundation of China (No.ZR2017MA041) and the Project of Shandong Province Higher Educational Science and Technology Program (No.J18KA225). Abstract： Let $\Omega\in L^s(\mathrm{S}^{n-1}) \ (s>1)$ be a homogeneous function of degree zero and $b$ be a BMO function or Lipschitz function. In this paper, the authors obtain some boundedness of the Calder\'{o}n-Zygmund singular integral operator $T_\Omega$ and its commutator $[b,T_\Omega]$ on Herz-Morrey spaces with variable exponent. Keywords： Calder'{o}n-Zygmund singular integral, Commutator, Herz-Morrey space, Variable exponent Classification： 42B20, 42B35, 46E30 Download PDF Full-Text