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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 ...
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 ...
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 ...
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 ...