Multilinear Commutators of Sublinear Operators on Triebel-Lizorkin Spaces

Multilinear Commutators of Sublinear Operators on Triebel-Lizorkin Spaces

Year:    2014

Author:    Rulong Xie, Lisheng Shu, Qianxiang Zhang

Communications in Mathematical Research , Vol. 30 (2014), Iss. 2 : pp. 168–178

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Communications in Mathematical Research , Vol. 30 (2014), Iss. 2 : pp. 168–178

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

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

Author Details

Rulong Xie

Lisheng Shu

Qianxiang Zhang