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In this paper, we prove the Spanne-type boundedness of the generalized Riesz potential operator I? on the generalized weighted local Morrey spaces with wq ? A1+ q/p? for 1 < p < q < ? and including its the weak estimates with w ? A1,q for 1 < q < ?. We also prove the Adams-type boundedness of the operator I? on the generalized weighted Morrey spaces with w ? Ap,q for 1 < p < q < ? and also including its the weak estimates with w ? A1,q for 1 < q < ?. © 2021 Tbilisi Centre for Mathematical Sciences. All rights reserved. |