Boundedness criteria for commutators of some sublinear operators in weighted Morrey spaces

Volume 11, Issue 1, pp 26--48 http://dx.doi.org/10.22436/jnsa.011.01.04

Publication Date: December 22, 2017 Submission Date: September 17, 2017 Revision Date: October 09, 2017 Accteptance Date: November 15, 2017

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Authors

Xiaoli Chen - Department of Mathematics, Jiangxi Normal University Nanchang, Jiangxi 330022, P. R. China.

Abstract

In this paper, we obtain bounded criteria on certain weighted Morrey spaces for the commutators generalized by some sublinear integral operators and weighted Lipschitz functions. We also present bounded criteria for commutators generalized by such sublinear integral operators and weighted BMO function on the weighted Morrey spaces. As applications, our results yield the same bounded criteria for those commutators on the classical weighted Morrey spaces.

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ISRP Style

Xiaoli Chen, Boundedness criteria for commutators of some sublinear operators in weighted Morrey spaces, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 1, 26--48

AMA Style

Chen Xiaoli, Boundedness criteria for commutators of some sublinear operators in weighted Morrey spaces. J. Nonlinear Sci. Appl. (2018); 11(1):26--48

Chicago/Turabian Style

Chen, Xiaoli. "Boundedness criteria for commutators of some sublinear operators in weighted Morrey spaces." Journal of Nonlinear Sciences and Applications, 11, no. 1 (2018): 26--48

Keywords

Weighted Morrey space
criteria
commutator
weighted Lipschitz function

MSC

42B25
42B30

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