Local Hardy-Littlewood maximal operator

Chin Cheng Lin, Krzysztof Stempak

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

In this article we define and investigate a local Hardy-Littlewood maximal operator in Euclidean spaces. It is proved that this operator satisfies weighted Lp, p > 1, and weighted weak type (1, 1) estimates with weight function w ∈ Alocp, the class of local Ap weights which is larger than the Muckenhoupt Ap class. Also, the condition w ∈ Alocp turns out to be necessary for the weighted weak type (p, p), p ≥ 1, inequality to hold.

Original languageEnglish
Pages (from-to)797-813
Number of pages17
JournalMathematische Annalen
Volume348
Issue number4
DOIs
StatePublished - 2010

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