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BOUNDEDNESS OF THE MAXIMAL OPERATOR AND ITS COMMUTATORS ON VANISHING GENERALIZED ORLICZ-MORREY SPACES

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

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 ...