@Article{Karppinen2022,
author = "Karppinen, Arttu",
title = "Fractional operators and their commutators on generalized Orlicz spaces",
journal = "Opuscula Math.",
year = "2022",
volume = "42",
number = "4",
pages = "583--604",
doi = "https://doi.org/10.7494/OpMath.2022.42.4.583",
url = "https://doi.org/10.7494/OpMath.2022.42.4.583",
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.",
keywords = "maximal operator, commutator, fractional operator, generalized Orlicz, Musielak-Orlicz",
issn = "1232-9274"
}