An extension of the Muckenhoupt-Wheeden theorem to generalized weighted Morrey spaces

In this paper, we find the condition on a function omega and a weight v which ensures the equivalency of norms of the Riesz potential and the fractional maximal function in generalized weighted Morrey spaces M-p,M-omega(R-n, v) and generalized weighted central Morrey spaces. M-p,M-omega(R-n, v), when v belongs to the Mucken-houpt A(infinity)-class.