Annals of Functional Analysis

Lipschitz Estimates for Multilinear Commutator of Pseudo-differential Operators

Lanzhe Liu and Zhiwei Wang

Full-text: Open access

Abstract

‎In this paper‎, ‎we prove the boundedness for some multilinear commutators generated by the pseudo-differential operator and Lipschitz functions‎.

Article information

Source
Ann. Funct. Anal., Volume 1, Number 2 (2010), 12- 27.

Dates
First available in Project Euclid: 12 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.afa/1399900584

Digital Object Identifier
doi:10.15352/afa/1399900584

Mathematical Reviews number (MathSciNet)
MR2772035

Zentralblatt MATH identifier
1217.42042

Subjects
Primary: 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.)
Secondary: 42B25: Maximal functions, Littlewood-Paley theory

Keywords
Multilinear commutator ‎pseudo-differential operator ‎Lipschitz space ‎Lebesgue spaces ‎Triebel--Lizorkin space

Citation

Wang, Zhiwei; Liu, Lanzhe. Lipschitz Estimates for Multilinear Commutator of Pseudo-differential Operators. Ann. Funct. Anal. 1 (2010), no. 2, 12-- 27. doi:10.15352/afa/1399900584. https://projecteuclid.org/euclid.afa/1399900584


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