Spherical Maximal Operators on Radial Fu
โ
Andreas Seeger; Stephen Wainger; James Wright
๐
Article
๐
1997
๐
John Wiley and Sons
๐
English
โ 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~โ~__E__~ |A__tf__(x)| where __E__ is a fixed set in IR^+^ and __f__ is a radial function โ __L__^__p__^(IR^__d__^). L