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.
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页码：631 / 722
页数：92
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