MAXIMAL OPERATORS AND HILBERT TRANSFORMS ALONG FLAT CURVES NEAR L1

被引：0

作者：

Bez, Neal ^{[1
]}

机构：

[1] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 87卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

maximal operator; Hilbert transform; weak type estimate; ROUGH OPERATORS;

D O I：

10.1017/S1446788709000111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a class of convex curves in R-d we prove that the corresponding maximal operator and Hilbert transform are of weak type L log L. The point of interest here is that this class admits Curves which are infinitely flat at the origin. We also prove in analogous weak type result for a class of nonconvex hypersurfaces.

引用

页码：311 / 323

页数：13

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