## 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
โฆ LIBER โฆ
On maximal stable functions
โ Scribed by Zhang Guo-Qiang
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 568 KB
- Volume
- 146
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
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## Abstract Let ฮฆ(__t__) and ฮจ(__t__) be the functions having the following representations ฮฆ(__t__) = โซ__a__(__s__)__ds__ and ฮจ(__t__) = โซ__b__(__s__) __ds__, where __a__(__s__) is a positive continuous function such that โซ__a__(__s__)/s ds = + โ and __b__(__s__) is an increasing function such tha
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