Lipschitz Estimates for Multilinear Commutator of Pseudo-differential Operators

Lanzhe Liu; Zhiwei Wang

doi:10.15352/afa/1399900584

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Home > Journals > Ann. Funct. Anal. > Volume 1 > Issue 2 > Article

2010 Lipschitz Estimates for Multilinear Commutator of Pseudo-differential Operators

Lanzhe Liu, Zhiwei Wang

Ann. Funct. Anal. 1(2): 12-27 (2010). DOI: 10.15352/afa/1399900584

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Abstract

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

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Lanzhe Liu. Zhiwei Wang. "Lipschitz Estimates for Multilinear Commutator of Pseudo-differential Operators." Ann. Funct. Anal. 1 (2) 12 - 27, 2010. https://doi.org/10.15352/afa/1399900584

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Published: 2010

First available in Project Euclid: 12 May 2014

zbMATH: 1217.42042

MathSciNet: MR2772035

Digital Object Identifier: 10.15352/afa/1399900584

Subjects:

Primary: 42B20

Secondary: 42B25

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

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Lanzhe Liu, Zhiwei Wang "Lipschitz Estimates for Multilinear Commutator of Pseudo-differential Operators," Annals of Functional Analysis, Ann. Funct. Anal. 1(2), 12-27, (2010)

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