The maximal operator on generalized Orlicz spaces




Peter Hästö

2015

Journal of Functional Analysis

J. Funct. Anal.

269

12

4038

4048

11

0022-1236

DOIhttps://doi.org/10.1016/j.jfa.2015.10.002



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. (C) 2015 Elsevier Inc. All rights reserved.



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