Double Points Local Hardy‐Littlewood Maximal Operator

Futao Song and Na Ju

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: A double points local Hardy‐Littlewood maximal operator M{a, b},k,loc is defined and investigated in Euclidean spaces. It is proved that M{a, b},k,loc is bounded on Lp(w) when p > 1 and from L1(w) to L1,∞(w) with weight function w ∈ A{a, b},k,loc, the class of double points local Ap weights which is larger than the Muckenhoupt Ap class and the local Ap weights defined by Lin and Stempak.

Date: 2013
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https://doi.org/10.1155/2013/637314

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:637314

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