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Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces
(SPRINGEROPEN, 2016)
In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively. Also we give criteria for ...
Riesz potential and its commutators on Orlicz spaces
(SPRINGER INTERNATIONAL PUBLISHING AG, 2017)
In the present paper, we shall give necessary and sufficient conditions for the strong and weak boundedness of the Riesz potential operator I-alpha on Orlicz spaces. Cianchi (J. Lond. Math. Soc. 60(1): 247-286, 2011) found ...
Global Regularity in Generalized Morrey Spaces of Solutions to Nondivergence Elliptic Equations with VMO Coefficients
(SPRINGER, 2013)
We show continuity in generalized Morrey spaces of sublinear integral operators generated by Caldern-Zygmund operator and their commutators with BMO functions. The obtained estimates are used to study global regularity of ...
Intrinsic Square Functions on Vanishing Generalized Orlicz-Morrey Spaces
(SPRINGER, 2017)
We study the boundedness of intrinsic square functions and their commutators on vanishing generalized Orlicz-Morrey spaces. In all the cases the conditions for the boundedness are given in terms of Zygmund-type integral ...
Multilinear commutators of vector-valued intrinsic square functions on vector-valued generalized weighted Morrey spaces
(SPRINGEROPEN, 2014)
In this paper, we will obtain the strong type and weak type estimates for vector-valued analogs of intrinsic square functions in the generalized weighted Morrey spaces M-w(p,phi) (l(2)). We study the boundedness of intrinsic ...
(Phi,Psi)-admissible potential operators and their commutators on vanishing Orlicz-Morrey spaces
(SPRINGER-VERLAG ITALIA SRL, 2016)
We study the boundedness of -admissible potential operators and their commutators on vanishing generalized Orlicz-Morrey spaces including their weak versions. These conditions are satisfied by most of the operators in ...
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 ...
BOUNDEDNESS OF THE MAXIMAL OPERATOR AND ITS COMMUTATORS ON VANISHING GENERALIZED ORLICZ-MORREY SPACES
(SUOMALAINEN TIEDEAKATEMIA, 2015)
We prove the boundedness of the Hardy-Littlewood maximal operator and their commutators with BMO-coefficients in vanishing generalized Orlicz-Morrey spaces VM Phi,phi(R-n) including weak versions of these spaces. The main ...
Phi-Admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces
(SPRINGEROPEN, 2014)
We study the boundedness of Phi-admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces VM Phi,phi(R-n) including their weak versions. These conditions are satisfied by most of the ...
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 ...
