A NOTE ON THE ENDPOINT REGULARITY OF THE HARDY-LITTLEWOOD MAXIMAL FUNCTIONS

作者:Liu, Feng*; Chen, Ting; Wu, Huoxiong
来源:Bulletin of the Australian Mathematical Society, 2016, 94(1): 121-130.
DOI:10.1017/S0004972715001392

摘要

In this note we give a simple proof of the endpoint regularity for the uncentred Hardy-Littlewood maximal function on R. Our proof is based on identities for the local maximum points of the corresponding maximal functions, which are of interest in their own right.