Multilinear Commutators of Sublinear Operators on Triebel-Lizorkin Spaces

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Abstract

In this paper, the boundedness of multilinear commutators related to sublinear operators with Lipschitz function on Triebel-Lizorkin spaces is given. As an application, we prove that the multilinear commutators of Littlewood-Paley operator and Bochner-Riesz operator are bounded on Triebel-Lizorkin spaces.

Keywords:

multilinear commutator Triebel-Lizorkin space Littlewood-Paley operator Bochner-Riesz operator.
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DOI

10.13447/j.1674-5647.2014.02.07

How to Cite

Multilinear Commutators of Sublinear Operators on Triebel-Lizorkin Spaces. (2021). Communications in Mathematical Research, 30(2), 168-178. https://doi.org/10.13447/j.1674-5647.2014.02.07