ORIGINAL ARTICLE
A sufficient condition for boundedness of maximal operator on weighted generalized Orlicz spaces
Vertti Hietanen,
Corresponding Author
Vertti Hietanen
Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland
Correspondence
Vertti Hietanen, Department of Mathematics and Statistics, University of Helsinki, FI-00014 Helsinki, Finland.
Email: [email protected]
Search for more papers by this authorVertti Hietanen,
Corresponding Author
Vertti Hietanen
Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland
Correspondence
Vertti Hietanen, Department of Mathematics and Statistics, University of Helsinki, FI-00014 Helsinki, Finland.
Email: [email protected]
Search for more papers by this authorFirst published: 12 February 2025
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 and is almost increasing in addition to the standard conditions.
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