Weak-type (1-1) inequality for the Monge-Ampere SIO's

被引：15
|
作者：
Incognito, A [1 ]
机构：
[1] Al Akhawayn Univ Ifrane, Sch Sci & Engn, Ifrane 53000, Morocco
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2001年 / 7卷 / 01期
关键词：
Monge-Ampere equation; singular integral; weak-type (1-1); doubling measure; homogeneous space; Hormander condition; Holder-alpha condition and Calderon-Zygmund decomposition;
D O I：
10.1007/s00041-001-0003-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this article is to prove a weak-type (1-1) estimate for a class of singular integral operators related to the real analysis of the Monge-Ampere equation. The method uses the theory of homogeneous spaces. It should be noted that the class of operators has been widened since [3] by replacing the Lipschitz type condition with a weaker Holder-alpha type condition (0 < <alpha> less than or equal to 1).
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页码：41 / 48
页数：8
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