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BV continuity for the uncentered Hardy–Littlewood maximal operator
Journal of Functional Analysis ( IF 1.7 ) Pub Date : 2021-04-07 , DOI: 10.1016/j.jfa.2021.109037
Cristian González-Riquelme , Dariusz Kosz

We prove the continuity of the map fM˜f from BV(R) to itself, where M˜ is the uncentered Hardy–Littlewood maximal operator. This answers a question of Carneiro, Madrid and Pierce.



中文翻译:

无中心Hardy–Littlewood最大算子的BV连续性

我们证明了地图的连续性 F中号F伏特[R 本身,在哪里 中号是无中心的Hardy–Littlewood最大运算符。这回答了卡内罗,马德里和皮尔斯的问题。

更新日期:2021-04-09
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