Balls and quasi-metrics: A space of homogeneous type modeling the real analysis related to the Monge-Ampere equation

被引：32

作者：

Aimar, H ^{[1
]}

Forzani, L

Toledano, R

机构：

[1] UNL, FIQ, Dept Matemat, CONICET,Programa Especial Matemat Aplicada, Santa Fe, Argentina

[2] UNL, FCEF Q&N, Dept Matemat, CONICET,Programa Especial Matemat Aplicada, Santa Fe, Argentina

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1998年 / 4卷 / 4-5期

关键词：

convex sets; real Monge-Ampere equation; covering lemmas; real variable theory; BMO;

D O I：

10.1007/BF02498215

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that having a quasi-metric on a given set X is essentially equivalent to have a family of subsets S(x, r) of X for which y is an element of S(x, r) implies both S(y, r) subset of S(x, Kr) and S(x, r) subset of S(y, Kr)for some constant K. As cut application, starting from the Monge-Ampere setting introduced in [3], we get a space of homogeneous type modeling the real analysis for such an equation.

引用

页码：377 / 381

页数：5