<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, the weighted boundedness for the multilinear commutator associated to some integral operator and the weighted Lipschitz functions are obtained. The integral operator includes the Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.</p></abstract>

In this paper, the weighted boundedness for the multilinear commutator associated to some integral operator and the weighted Lipschitz functions are obtained. The integral operator includes the Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.

Weighted Lipschitz Estimates for Multilinear Commutator of Integral Operator

Department of Mathematics Changsha University of Science and Technology Changsha, 410077 P. R. of China

Annals of West University of Timisoara - Mathematics and Computer Science

{"article-title":"Weighted Lipschitz Estimates for Multilinear Commutator of Integral Operator"}

In this paper, the weighted boundedness for the multilinear commutator associated to some integral operator and the weighted Lipschitz functions are obtained....

Weighted Lipschitz Estimates for Multilinear Commutator of Integral Operator

Published Online: Nov 22, 2012

Page range: 51 - 67

DOI: https://doi.org/10.2478/v10324-012-0004-5

Keywords
Multilinear commutator, Integral operator, Weighted Lipschitz space, Triebel-Lizorkin space, Littlewood-Paley operator, Marcinkiewicz operator, Bochner-Riesz operator.

This content is open access.

Weighted Lipschitz Estimates for Multilinear Commutator of Integral Operator

Published Online: Nov 22, 2012

Page range: 51 - 67

DOI: https://doi.org/10.2478/v10324-012-0004-5

KeywordsMultilinear commutator, Integral operator, Weighted Lipschitz space, Triebel-Lizorkin space, Littlewood-Paley operator, Marcinkiewicz operator, Bochner-Riesz operator.

This content is open access.

Keywords
Multilinear commutator, Integral operator, Weighted Lipschitz space, Triebel-Lizorkin space, Littlewood-Paley operator, Marcinkiewicz operator, Bochner-Riesz operator.