MAXIMAL AVERAGES ALONG A PLANAR VECTOR FIELD DEPENDING ON ONE VARIABLE

被引：5

作者：

Bateman, Michael ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 365卷 / 08期

关键词：

ARBITRARY SETS; DIRECTIONS; OPERATORS;

D O I：

10.1090/S0002-9947-2013-05673-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove (essentially) sharp L-2 estimates for a restricted maximal operator associated to a planar vector field that depends only on the horizontal variable. The proof combines an understanding of such vector fields from earlier work of the author with a result of Nets Katz on directional maximal operators.

引用

页码：4063 / 4079

页数：17

共 8 条

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