Continuity for the one-dimensional centered Hardy-Littlewood maximal operator at the derivative level

被引：6

作者：

Gonzalez-Riquelme, Cristian ^{[1
]}

机构：

[1] Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon, Portugal

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2023年 / 285卷 / 09期

关键词：

Maximal operators; Continuity; SOBOLEV;

D O I：

10.1016/j.jfa.2023.110097

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the continuity of the map f & RARR; (Mf)' from W1,1(R) to L1(R), where M is the centered Hardy-Littlewood maximal operator. This solves a question posed by Carneiro, Madrid and Pierce. & COPY; 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org /licenses /by -nc -nd /4 .0/).

引用

页数：14

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