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| Boundedness of Singular Integral Operators on Herz-Morrey Spaces with Variable Exponent |
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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： 861
Net amount： 929 |
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). |
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| 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 |
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