Multilinear Commutators of Sublinear Operators on Triebel-Lizorkin Spaces

Authors

  • Rulong Xie
  • Lisheng Shu
  • Qianxiang Zhang

DOI:

https://doi.org/10.13447/j.1674-5647.2014.02.07

Keywords:

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

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.

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Published

2021-05-17

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Issue

Vol. 30 No. 2 (2014)

Section

Articles

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