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Weighted boundedness of multilinear Calderón commutators

  • Yanping Chen and Xueting Han EMAIL logo
Published/Copyright: January 21, 2021

Abstract

The main result of this paper is to give that if bLip(n), hjBMO(n), j=1,,k, k+ and wAp, 1<p<, then the multilinear Calderón commutators TΩ,b,h with variable kernels are bounded on Lp(w). In addition, the authors extend the above result to the Morrey space.

MSC 2010: 42B20; 42B25

Communicated by Christopher D. Sogge


Award Identifier / Grant number: 11871096

Award Identifier / Grant number: 11471033

Funding statement: The project was in part supported by NSF of China (No. 11871096, No. 11471033).

Acknowledgements

The authors would like to express their deep gratitude to the referee for giving many valuable suggestions, which greatly improved the exposition of the paper.

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Received: 2020-08-14
Revised: 2020-12-29
Published Online: 2021-01-21
Published in Print: 2021-03-01

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