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arXiv · 2409.18525

Sufficient condition for boundedness of maximal operator on weighted generalized Orlicz spaces

Vertti Hietanen
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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 $A_p$ and $t \to \frac{\varphi(x,t)}{t^p}$ is almost increasing in addition to the standard conditions.

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Vertti Hietanen. 2024-09-27. Sufficient condition for boundedness of maximal operator on weighted generalized Orlicz spaces. https://doi.org/10.1002/mana.202400496

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