Yazar "Eroglu A." seçeneğine göre listele

Listeleniyor 1 - 4 / 4
  • Küçük Resim Yok
    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.
  • Küçük Resim Yok
    Öğe
    Fractional integral associated to schrödinger operator on the heisenberg groups in vanishing generalized morrey spaces
    (Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2018) Eroglu A.; Isayev F.A.; Namazov F.M.
    Let L = -?Hn + V be a Schrödinger operator on the Heisenberg groups Hn, where the nonnegative potential V belongs to the reverse Hölder class RHQ/2 and Q is the homogeneous dimension of Hn. Let b belong to a newBMO?(Hn, ?) space, and let IL ß be the fractional integral operator associated with L. In this paper, we study the boundedness of the operator IL ß and its commutators [b, IL ß ] with b ? BMO?(Hn, ?) on vanishing generalized Morrey spaces VM?,V p,? (Hn) associated with Schrödinger operator. We find the sufficient conditions on the pair (?1, ?2) which ensures the boundedness of the operator IL ß from VM?,V p,?1 (Hn) to LM?,V q,?2 (Hn), 1/p - 1/q = ß/Q. When b belongs to BMO?(Hn, ?) and (?1, ?2) satisfies some conditions, we also show that the commutator operator [b, IL ß ] are bounded from VM?,V p,?1 (Hn) to VM?,V q,?2 (Hn), 1/p - 1/q = ß/Q. © 2018, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
  • Küçük Resim Yok
    Öğe
    New integral inequality on time scales
    (2010) Eroglu A.
    In this paper we establish some new integral inequalities related to a certain inequality arising in the theory of dynamic equations on time scales.
  • Küçük Resim Yok
    Öğe
    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.