Sharp inequalities for maximal functions associated with general measures

被引：18

作者：

Grafakos, L ^{[1
]}

Kinnunen, J

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65203 USA

[2] Univ Helsinki, Dept Math, FIN-00014 Helsinki, Finland

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1998年 / 128卷

关键词：

D O I：

10.1017/S0308210500021739

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sharp weak type (1, 1) and L-P estimates in dimension one are obtained for uncentred maximal functions associated with Borel measures which do not necessarily satisfy a doubling condition. In higher dimensions, uncentred maximal functions fail to satisfy such estimates. Analogous results for centred maximal functions are given in all dimensions.

引用

页码：717 / 723

页数：7

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