A sufficient condition for boundedness of maximal operator on weighted generalized Orlicz spaces

Vertti Hietanen

Mathematische Nachrichten, 2025, vol. 298, issue 3, 944-954

Abstract: We prove that the Hardy–Littlewood maximal operator is bounded in the weighted generalized Orlicz space if the weight satisfies the classical Muckenhoupt condition Ap$A_p$ and t→φ(x,t)tp$t \rightarrow \frac{\varphi (x,t)}{t^p}$ is almost increasing in addition to the standard conditions.

Date: 2025
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https://doi.org/10.1002/mana.202400496

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