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We prove the boundedness of the Riesz fractional integration operator from a generalized Morrey space  L p, φ   to a certain Orlicz-Morrey space  L ϕ, φ   which covers the Adams result for Morrey spaces. We also give a generalization to the case of weighted Riesz fractional integration operators for some class of weights.

Weighted adams type theorem for the riesz fractional integral in generalized morrey space