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ROUGH SINGULAR INTEGRAL OPERATORS AND ITS COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES
(ELEMENT, 2016)
Let Omega is an element of L-q(Sn-1) be a homogeneous function of degree zero with q > 1 and have a mean value zero on Sn-1. In this paper, we study the boundedness of the singular integral operators with rough kernels ...
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 ...
Sublinear operators with rough kernel generated by Calderon-Zygmund operators and their commutators on generalized local Morrey spaces
(SPRINGEROPEN, 2015)
In this paper, we will study the boundedness of a large class of sublinear operators with rough kernel T-Omega on the generalized local Morrey spaces LM rho,phi{x0}, for s' <= p, p not equal 1 or p < s, where Omega is an ...
COMMUTATORS OF MARCINKIEWICZ INTEGRALS ASSOCIATED WITH SCHRODINGER OPERATOR ON GENERALIZED WEIGHTED MORREY SPACES
(ELEMENT, 2016)
Let L = -Delta + V be a Schrodinger operator, where Delta is the Laplacian on R-n, while nonnegative potential V belongs to the reverse Holder class. Let also Omega is an element of L-q(Sn-1) be a homogeneous function of ...
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 ...
Boundedness of Sublinear Operators and Commutators on Generalized Morrey Spaces
(SPRINGER BASEL AG, 2011)
In this paper the authors study the boundedness for a large class of sublinear operators T-alpha, alpha is an element of [0, n) generated by Calderon-Zygmund operators (alpha = 0) and generated by Riesz potential operator ...
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 ...
