Commutators of Pseudodifferential Operators on Weighted Hardy Spaces

Yu-long Deng and Antonio Masiello

Journal of Mathematics, 2022, vol. 2022, 1-6

Abstract: In this paper, we establish an endpoint estimate for the commutator, b,T, of a class of pseudodifferential operators T with symbols in Hörmander class SÏ ,δmRn. In particular, there exists a nontrivial subspace of BMORn such that, when b belongs to this subspace, the commutators b,T is bounded from Hω1Rn into Lω1Rn, which we extend the well-known result of Calderón-Zygmund operators.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8851959

DOI: 10.1155/2022/8851959

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