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Commutator of fractional integral with Lipschitz functions associated with Schrodinger operator on local generalized Morrey spaces
(SPRINGER INTERNATIONAL PUBLISHING AG, 2018)
Let L = -Delta + V be a Schrodinger operator on R-n, where n >= 3 and the nonnegative potential V belongs to the reverse Holder class RHq1 for some q(1) > n/2. Let b belong to a new Campanato space Lambda(theta)(nu) (rho) ...
FRACTIONAL MAXIMAL OPERATOR AND ITS COMMUTATORS IN GENERALIZED MORREY SPACES ON HEISENBERG GROUP
(INST MATHEMATICS & MECHANICS, NATL ACAD SCIENCES AZERBAIJAN, 2018)
In this paper we study the boundedness of the fractional maximal operator M-alpha on Heisenberg group H-n in the generalized Morrey spaces M-p,(phi)(H-n). We shall give a characterization for the strong and weak type Spanne ...
Morrey-type estimates for commutator of fractional integral associated with Schrodinger operators on the Heisenberg group
(PUSHPA PUBLISHING HOUSE, 2018)
Let L = - Delta(Hn) + V be a Schrodinger operator on the Heisenberg group H-n m where the nonnegative potential V belongs to the reverse Holder class RH q , for some q(1) >= Q/2, and Q is the homogeneous dimension of H-n ...
Necessary and sufficient condition for the boundedness of the Gegenbauer-Riesz potential on Morrey spaces
(WALTER DE GRUYTER GMBH, 2018)
In this paper, we study the Riesz potential (G-Riesz potential) generated by the Gegenbauer differential operator G(lambda) = (x(2) - 1()1/2-lambda) d/dx (x(2) - 1)(lambda+1/2) d/dx, x is an element of(1, infinity), lambda ...
Maximal Operator and its Commutators on Generalized Weighted Orlicz-Morrey Spaces
(TOKYO JOURNAL MATHEMATICS EDITORIAL OFFICE ACAD CENTER, 2018)
In the present paper, we shall give necessary and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator and its commutators on generalized weighted Orlicz-Morrey spaces M-w(Phi,psi)(R-n). The ...
Some Characterizations of Lipschitz Spaces via Commutators on Generalized Orlicz-Morrey Spaces
(SPRINGER BASEL AG, 2018)
In this paper, we give some new characterizations of the Lipschitz spaces via the boundedness of commutators associated with the fractional maximal operator, Riesz potential and Caldern-Zygmund operator on generalized ...
Commutators of fractional maximal operator on generalized Orlicz-Morrey spaces
(SPRINGER, 2018)
In the present paper, we shall give necessary and sufficient conditions for the Spanne and Adams type boundedness of the commutators of fractional maximal operator on generalized Orlicz-Morrey spaces, respectively. The ...
MAXIMAL AND SINGULAR INTEGRAL OPERATORS AND THEIR COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT
(ELEMENT, 2018)
We consider the generalized weighted Morrey spaces M-omega(p(.),phi) (Omega) with variable exponent p(x) and a general function phi(x, r) defining the Morrey-type norm. In case of unbounded sets Omega subset of R-n we prove ...
Global Regularıty In Orlıcz-Morrey Spaces Of Solutıons To Nondıvergence Ellıptıc Equatıons Wıth Vmo Coeffıcıents
(TEXAS STATE UNIV, 2018)
We show continuity in generalized Orlicz-Morrey spaces M-Phi,M-phi (R-n) of sublinear integral operators generated by Calderon-Zygmund operator and their commutators with BMO functions. The obtained estimates are used to ...