DSpace Arşivi :: by Yazar "Guliyev V.S." değerine göre listeleniyor

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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.
Riesz potential in generalized Morrey spaces on the Heisenberg group
(2013) Guliyev V.S.; Eroglu A.; Mammadov Y.Y.
We consider the Riesz potential operator I?, on the Heisenberg group Hn in generalized Morrey spaces Mp,?(Hn) and find conditions for the boundedness of I? as an operator from Mp,?1(Hn) to Mp,?2(Hn), 1 < p < ?, and from Mp,?1(Hn) to a weak Morrey space WM1,?2(Hn). The boundedness conditions are formulated it terms of Zygmund type integral inequalities. Based on the properties of the fundamental solution of the sub-Laplacian on Hn, we prove two Sobolev-Stein embedding theorems for generalized Morrey and Besov-Morrey spaces. Bibliography: 40 titles. © 2013 Springer Science+Business Media New York.