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Öğe Characterizations for the fractional integral operators in generalized Morrey spaces on Carnot groups(Maik Nauka-Interperiodica Publishing, 2017) Eroglu A.; Guliyev V.S.; Azizov J.V.In this paper, we study the boundedness of the fractional integral operator I ? on Carnot group G in the generalized Morrey spaces M p, ? (G). We shall give a characterization for the strong and weak type boundedness of I ? on the generalized Morrey spaces, respectively. As applications of the properties of the fundamental solution of sub-Laplacian L on G, we prove two Sobolev–Stein embedding theorems on generalized Morrey spaces in the Carnot group setting. © 2017, Pleiades Publishing, Ltd.