Eroglu A.Guliyev V.S.Azizov J.V.2019-08-012019-08-0120170001-4346https://dx.doi.org/10.1134/S0001434617110116https://hdl.handle.net/11480/1773In 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.eninfo:eu-repo/semantics/closedAccessCarnot groupfractional integral operatorgeneralized Morrey spaceArticle1024544872273410.1134/S00014346171101162-s2.0-85039457826N/AWOS:000418838500011Q3