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math.FA2021
Fractional operators and their commutators on generalized Orlicz spaces
Arttu Karppinen
In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces for fractional maximal fu…
math.FA2021
Sharp growth conditions for boundedness of maximal function in generalized Orlicz spaces
Petteri Harjulehto, Arttu Karppinen
We study sharp growth conditions for the boundedness of the Hardy-Littlewood maximal function in the generalized Orlicz spaces. We assume that the generalized Orlicz function $ϕ(x,…