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

Autor: Hietanen, Vertti
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 12 pages
Databáze: arXiv