On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝn

Hannes Luiro

doi:10.1017/S0013091507000867

Abstract

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We establish the continuity of the Hardy-Littlewood maximal operator on W1,p(Ω), where Ω ⊂ ℝn is an arbitrary subdomain and 1 < p < ∞. Moreover, boundedness and continuity of the same operator is proved on the Triebel-Lizorkin spaces Fps,q (Ω) for 1 < p,q < ∞ and 0 < s < 1.

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Article contents

On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝn

Abstract

Keywords

MSC classification

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝn

Abstract

Keywords

MSC classification

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