Singular integrals with flag kernels on homogeneous groups, I

被引：44

作者：

Nagel, Alexander ^{[1
]}

Ricci, Fulvio ^{[2
]}

Stein, Elias M. ^{[3
]}

Wainger, Stephen ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy

[3] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2012年 / 28卷 / 03期

关键词：

Flag kernel; homogeneous nilpotent Lie group; cancellation condition; TRIEBEL-LIZORKIN; BESOV;

D O I：

10.4171/RMI/688

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a flag kernel on a homogeneous nilpotent Lie group G. We prove that operators T of the form T(f) = f * K form an algebra under composition, and that such operators are bounded on L-p (G) for 1 < p < infinity.

引用

页码：631 / 722

页数：92

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