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Boundedness of the Maximal and Singular Operators on Generalized Orlicz-Morrey Spaces
(BIRKHAUSER VERLAG AG, 2014)
We consider generalized Orlicz-Morrey spaces MF Phi,phi(R-n) including their weak versions. In these generalized spaces we prove the boundedness of the Hardy-Littlewood maximal operator and Calderon-Zygmund singular operators ...
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 ...
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 ...
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 ...
A characterization for Adams-type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces
(TAYLOR & FRANCIS LTD, 2017)
In the present paper, we shall give a characterization for weak/strong Adams-type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces.
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 ...
On the Riesz Potential and Its Commutators on Generalized Orlicz-Morrey Spaces
(HINDAWI LTD, 2014)
We consider generalized Orlicz-Morrey spaces M-Phi,M-phi(R-n) including their weak versions WM Phi,phi(R-n). In these spaces we prove the boundedness of the Riesz potential from M-Phi,M-phi 1(R-n) to M-Psi,M-phi 2(R-n) and ...
(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 ...
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 ...
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 ...