Fractional operators and their commutators on generalized Orlicz spaces
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wersja wydawnicza
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pp. 583-604
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Bibliogr. 601-603.
Abstract
In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces (also known as Musielak-Orlicz spaces) for fractional maximal functions and Riesz potentials. We prove their boundedness between generalized Orlicz spaces and give a characterization for functions of bounded mean oscillation.