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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 ...

Boundedness of the Maximal and Singular Operators on Generalized Orlicz-Morrey Spaces

Deringoz, Fatih; Guliyev, Vagif S.; Samko, Stefan (BIRKHAUSER VERLAG AG, 2014)

We consider generalized Orlicz-Morrey spaces MF Phi,phi(R-n) including their weak versions. In these generalized spaces we prove the boundedness of the Hardy-Littlewood maximal operator and Calderon-Zygmund singular operators ...