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

Chen, Xiaoli ¹

¹ Department of Mathematics, Jiangxi Normal University Nanchang, Jiangxi 330022, P. R. China

Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 1, p. 26-48

Résumé

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.

Détail

DOI : 10.22436/jnsa.011.01.04

Classification : 42B25, 42B30
Keywords: Weighted Morrey space, criteria, commutator, weighted Lipschitz function

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