Rearrangement of Hardy-Littlewood maximal functions in Lorentz spaces

被引：12

作者：

Bastero, J ^{[1
]}

Milman, M

Ruiz, FJ

机构：

[1] Univ Zaragoza, Dept Math, E-50009 Zaragoza, Spain

[2] Florida Atlantic Univ, Dept Math, Boca Raton, FL 33431 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 01期

关键词：

maximal functions; rearrangement inequalities; Lorentz spaces;

D O I：

10.1090/S0002-9939-99-05128-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the classical Hardy-Littlewood maximal function Mf, a well known and important estimate due to Herz and Stein gives the equivalence (Mf)*(t) similar to f**(t). In the present note, we study the validity of analogous estimates for maximal operators of the form [GRAPHICS] where parallel to . parallel to(p,q) denotes the Lorentz space L(p, q)-norm.

引用

页码：65 / 74

页数：10

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