Generalized translate operator, B-maximal operator, B-Riesz potential
operator, Commutators, Generalized weighted B-Morrey space
- Javanshir Hasanov,
- Ismail Ekincioglu,
- Cansu Keskin
Javanshir Hasanov
Institute for Mathematics Mechanics and Informatics
Corresponding Author:hasanov.javanshir@math.ab.az
Author ProfileAbstract
In this study, we investigate the boundedness of B-Riesz potential and
its commutators on generalized weighted B-Morrey spaces. The primary aim
of this study is to investigate the boundedness of Riesz potential and
its commutators generated by generalized translate operator on
generalized weighted B-Morrey spaces. In particular, B-Riesz potantial,
its commutators and B-Morrey spaces are related to generalized translate
operators that is associated with Laplace Bessel differential operator.
Then, two-weighted inequality for these operators and its commutators on
generalized weighted B-Morrey spaces is also provided. As a corollary,
the boundedness of B-Riesz potential and its commutators on generalized
weighted B-Morrey spaces is proved.