Vector A2 weights and a Hardy-Littlewood maximal function

被引：29

作者：

Christ, M ^{[1
]}

Goldberg, M ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 353卷 / 05期

关键词：

D O I：

10.1090/S0002-9947-01-02759-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An analogue of the Hardy-Littlewood maximal function is introduced, for functions taking values in finite-dimensional Hilbert spaces. It is shown to be L-2 bounded with respect to weights in the class A(2) of Treil, thereby extending a theorem of Muckenhoupt from the scalar to the vector case.

引用

页码：1995 / 2002

页数：8

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