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.