- Hacettepe Journal of Mathematics and Statistics
- Cilt: 53 Sayı: 2
- On the boundedness of $B$-Riesz potential and its commutators on generalized weighted $B$-Morrey spa...
On the boundedness of $B$-Riesz potential and its commutators on generalized weighted $B$-Morrey spaces
Authors : Ismail Ekincioğlu, Javanshir J. Hasanov, Cansu Keskin
Pages : 321-332
Doi:10.15672/hujms.1221556
View : 180 | Download : 309
Publication Date : 2024-04-23
Article Type : Research
Abstract :In the present paper, we shall investigate a characterization for the boundedness of the $B$-Riesz potential and its commutators on the generalized weighted $B$-Morrey spaces. We also give a characterization for the generalized weighted $B$-Morrey spaces via the boundedness of the Riesz potential and its commutators generated by generalized translate operators associated with Laplace-Bessel differential operator.Keywords : generalized translate operator, $B$-maximal operator, $B$-Riesz potential operator, commutators, generalized weighted $B$-Morrey space