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Riesz potential and its commutators on Orlicz spaces

Guliyev, Vagif S.; Deringoz, Fatih; Hasanov, Sabir G. (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

Deringoz, Fatih; Guliyev, Vagif S.; Ragusa, Maria Alessandra (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 ...

A characterization for Adams-type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces

Deringoz, Fatih; Guliyev, Vagif S.; Hasanov, Sabir G. (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.

Vanishing generalized Orlicz-Morrey spaces and fractional maximal operator

Deringoz, Fatih; Guliyev, Vagif S.; Samko, Stefan (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 ...