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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 ...
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 ...
Fractional maximal function and its commutators on Orlicz spaces
(SPRINGER BASEL AG, 2019)
In this paper, we find necessary and sufficient conditions for the boundedness of fractional maximal operator M on Orlicz spaces. As an application of this results we consider the boundedness of fractional maximal commutator ...
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 ...
Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind
(SPRINGER, 2019)
In the present paper, we will characterize the boundedness of the generalized fractional integral operators I rho and the generalized fractional maximal operators M rho on Orlicz spaces, respectively. Moreover, we will ...
(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 ...
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 ...
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 ...
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 ...