Commutator of the Maximal Function in Total Morrey Spaces for the Dunkl Operator on the Real Line
Year: 2025
Type: article
Abstract: On the real line, the Dunkl operators D ν are differential-difference operators associated with the reflection group Z 2 on R. In this paper, in the setting R we study the commutators of the maximal operator associated with the Dunkl operator [b, M ν ] in the total D ν -Morrey spaces L p,λ,µ (R, dm ν ).We give necessary and sufficient conditions for the boundedness of the operator [b, M ν ] on total D ν -Morrey spaces L p,λ,µ (R, dm ν ) when b belongs to BM O(R, dm ν ) spaces, whereby some new characterizations for certain subclasses of BM O(R, dm ν ) spaces are obtained.
Authors: Y.Y. Mammadov, V.S. Guliyev, F.A. Muslumova
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4413028796