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).

引用

页码：41 / 48

页数：8

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