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Fractional integral associated with Schrö dinger operator on vanishing generalized Morrey spaces
(Element D.O.O., 2018)
Let L = -?+V be a Schrödinger operator, where the non-negative potential V belongs to the reverse Hölder class RH n/2 , let b belong to a new BMO ? (?) space, and let I L ß be the fractional integral operator associated ...
Rough fractional multilinear integral operators on generalized weighted morrey spaces
(Azerbaijan Mathematical Society, 2016)
In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels (Formula presented) on the generalized weighted Morrey spaces (Formula presented). We find the sufficient conditions ...
Marcinkiewicz integrals associated with Schrodinger operator and their commutators on vanishing generalized Morrey spaces
(SPRINGER INTERNATIONAL PUBLISHING AG, 2017)
Let L = -Delta + V be a Schrodinger operator, where Delta is the Laplacian on R-n and the non-negative potential V belongs to the reverse Holder class RHq for q >= n/2. In this paper, we study the boundedness of the ...
Higher order commutators of vector-valued intrinsic square functions on vector-valued generalized weighted Morrey spaces
(Azerbaijan Mathematical Society, 2014)
In this paper, we will obtain the strong type and weak type estimates for vector-valued analogues of intrinsic square functions in the generalized weighted Morrey spaces Mpw,? (Rn). We study the boundedness of intrinsic ...
Characterizations for the nonsingular integral operator and its commutators on generalized Orlicz-Morrey spaces
(Azerbaijan Mathematical Society, 2017)
We show continuity in generalized Orlicz-Morrey spaces M??(Rn +) of nonsingular integral operators and its commutators with BMO functions. We shall give necessary and sufficient conditions for the boundedness of the ...
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 ...
FRACTIONAL INTEGRAL ASSOCIATED WITH SCHRODINGER OPERATOR ON VANISHING GENERALIZED MORREY SPACES
(ELEMENT, 2018)
Let L= -Delta + V be a Schrodinger operator, where the non-negative potential V belongs to the reverse Holder class RHn/2, let b belong to a new BMO theta(rho) space, and let I-beta(L) be the fractional integral operator ...
Commutators of Fractional Maximal Operator on Orlicz Spaces
(MAIK NAUKA/INTERPERIODICA/SPRINGER, 2018)
In the present paper, we give necessary and sufficient conditions for the boundedness of commutators of fractional maximal operator on Orlicz spaces. The main advance in comparison with the existing results is that we ...
Vanishing generalized Orlicz-Morrey spaces and fractional maximal operator
(KOSSUTH LAJOS TUDOMANYEGYETEM, 2017)
We find sufficient conditions for the non-triviality of the generalized Orlicz-Morrey spaces M-Phi,M-phi (R-n), and prove the boundedness of the fractional maximal operator and its commutators with BMO-coefficients in ...
Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces
(DE GRUYTER POLAND SP ZOO, 2016)
In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels T-Omega,alpha(A1,A2,...,Ak), which is a generalization of the higher- order commutator of the rough fractional integral ...