Continuity of Hardy-Littlewood Maximal Function

• 作者: Di WU Dun-yan YAN
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2020,（4）
• 页码范围: 982-990
• 页数: 9页
• 语种: 英文

摘要

In the paper,we characterize a necessary and sufficient condition which ensures the continuities of the non-centered Hardy-Littlewood maximal function Mf and the centered Hardy-Littlewood maximal function Mcf on Rn.As two applications,we can easily deduce that Mcf and Mf are continuous if f is continuous,and Mf is continuous if f is of local bounded variation on R.