The maximal operator on generalized Orlicz spaces

In this note I present a sufficient condition for the boundedness of the maximal operator on generalized Orlicz spaces. The result includes as special cases the optimal condition for Orlicz spaces as well as the essentially optimal conditions for variable exponent Lebesgue spaces and the double-phas...

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Bibliographic Details
Published in:Journal of functional analysis 2015-12, Vol.269 (12), p.4038-4048
Main Author: Hästö, Peter A.
Format: Article
Language:English
Subjects:
Hardy–Littlewood maximal function
Musielak–Orlicz space
Orlicz space
Variable exponent Lebesgue space
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Summary:In this note I present a sufficient condition for the boundedness of the maximal operator on generalized Orlicz spaces. The result includes as special cases the optimal condition for Orlicz spaces as well as the essentially optimal conditions for variable exponent Lebesgue spaces and the double-phase functional.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2015.10.002