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On maximal operators along surfaces

✍ Scribed by Hung Viet Le


Publisher
SP Birkhäuser Verlag Basel
Year
2000
Tongue
English
Weight
277 KB
Volume
37
Category
Article
ISSN
0378-620X

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Spherical Maximal Operators on Radial Fu
✍ Andreas Seeger; Stephen Wainger; James Wright 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 818 KB

## Abstract Let __A~t~f__(__x__) denote the mean of __f__ over a sphere of radius __t__ and center __x__. We prove sharp estimates for the maximal function __M~E~ f__(__X__) = sup~t~∈~__E__~ |A__tf__(x)| where __E__ is a fixed set in IR^+^ and __f__ is a radial function ∈ __L__^__p__^(IR^__d__^). L