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Boundedness of commutators on homogeneous Herz spaces |
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| Authors: | Shanzhen Lu Lin Tang Dachun Yang |
| Institution: | (1) Department of Mathematics, Beijing Normal University, 100875 Beijing, China;(2) Department of Mathematics, Xinjiang University, 830046 Xinjiang, China;(3) Department of Mathematics, Beijing Normal University, 100875 Beijing, China |
| Abstract: | The boundedness on homogeneous Herz spaces is established for a large class of linear commutators generated by BMO(R n ) functions and linear operators of rough kernels which include the Calderón-Zygmund operators and the Ricci-Stein oRfiUatory singular integrals with rough kernels. Project supponed in pan by the National h’atural Science Foundation of China (Grant No. 19131080) and the NEDF of China. |
| Keywords: | Herz space power weight commutator BMO(ℝ n ) function singular integral rough kernel |
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