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Maximal commutators of BMO functions and singular integral operators with non-smooth kernels on spaces of homogeneous type |
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| Authors: | Guoen Hu Dachun Yang |
| Affiliation: | a Department of Applied Mathematics, University of Information Engineering, PO Box 1001-747, Zhengzhou 450002, People's Republic of China b School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China |
| Abstract: | Let X be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, via a new Cotlar type inequality linking commutators and corresponding maximal operators, a weighted Lp(X) estimate with general weights and a weak type endpoint estimate with A1(X) weights are established for maximal operators corresponding to commutators of BMO(X) functions and singular integral operators with non-smooth kernels. |
| Keywords: | Space of homogeneous type Approximation to the identity Weight Norm inequality Singular integral operator with non-smooth kernel BMO Commutator Cotlar inequality |
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