Commutators of the B-Maximal Operator and B-Maximal Commutators
FILOMAT, vol.34, no.2, pp.499-505, 2020 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 34 Issue: 2
- Publication Date: 2020
- Doi Number: 10.2298/fil2002499b
- Journal Name: FILOMAT
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Page Numbers: pp.499-505
- Keywords: Commutators, Maximal Commutators, Generalized shift operator, Maximal function, BMO Space, INVERSION, THEOREMS, SPACES
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
In this paper we consider the commutator of the B-maximal operator and the B-maximal commutator associated with the Laplace-Bessel differential operator. The boundedness of the commutator of the B-maximal operator with BMO symbols on weighted Lebesque space and weak-type inequality for the commutator of the B-maximal operator are proved.