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- W2951314802 abstract "Let $M_d$ be the centered Hardy-Littlewood maximal function associated to cubes in $mathbb{R}^d$ with Lebesgue measure, and let $c_d$ denote the lowest constant appearing in the weak type (1,1) inequality satisfied by $M_d$. We show that $c_d to infty$ as $dto infty$, thus answering, for the case of cubes, a long standing open question of E. M. Stein and J. O. Str{o}mberg." @default.
- W2951314802 created "2019-06-27" @default.
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- W2951314802 date "2008-05-11" @default.
- W2951314802 modified "2023-09-26" @default.
- W2951314802 title "The weak type $(1,1)$ bounds for the maximal function associated to cubes grow to infinity with the dimension" @default.
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- W2951314802 doi "https://doi.org/10.48550/arxiv.0805.1565" @default.
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