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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 ...