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Maximal operators of commutators of Bochner-Riesz means with Lipschitz functions |
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| Authors: | Shuli Gong Bolin Ma |
| Institution: | 1. College of Mathematics and Economtrics, Hunan University, Changsha 410082, China; 2. College of Science and Information Engineering, Jiaxing University, Jiaxing 314001, China |
| Abstract: | This paper presents a weighted L 2 estimate with power weights for the maximal operator of commutators generated by compactly supported multipliers and Lipschitz functions. As an application, we study the almost convergence of the commutators, which is generated by the Bochner-Riesz means under the critical index and Lipschitz functions, for functions in L p (p ⩾ 2). |
| Keywords: | Maximal operator commutator Bochner-Riesz means Lipschitz function |
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