论文标题
undented hardy的BV连续性 - 极限最大操作员
BV continuity for the uncentered Hardy--Littlewood maximal operator
论文作者
论文摘要
我们证明了从$ bv(\ mathbb {r})$从$ bv(\ mathbb {r})$发出地图$ f \ mapsto \ mapsto \ widetilde的连续性,其中$ \ widetilde {m} $是无用的hardy hardy hardy-little-little-little-little-little-little wood ocerator。这回答了卡内罗,马德里和皮尔斯的问题。
We prove the continuity of the map $f \mapsto \widetilde{M}f$ from $BV(\mathbb{R})$ to itself, where $\widetilde{M}$ is the uncentered Hardy--Littlewood maximal operator. This answers a question of Carneiro, Madrid and Pierce.