Fractional maximal function in total Morrey-Guliyev spaces for the Dunkl operator on the real line
Abstract
On the real line, the Dunkl operators D ν are differential-difference operators associated with the reflection group Z 2 on R. In the paper, in the setting , we study the fractional maximal operator associated with the Dunkl operator M α,ν in the total Morrey-Guliyev spaces L p,λ,µ (R, dm ν ).We give necessary and sufficient conditions for the boundedness of the operator M α,ν on total D ν -Morrey-Guliyev spaces L p,λ,µ (R, dm ν ).
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Mathematical Analysis and Transform Methods
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Journal of contemporary applied mathematics.
- Volume
- 16
- Issue
- 2
- Publication date
- 10 February 2026
- Language
- EN