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

González-Riquelme, Cristian, Kosz, Dariusz

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.

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