STRONG A-INFINITY WEIGHTS AND SOBOLEV CAPACITIES IN METRIC MEASURE SPACES

被引：0

作者：

Costea, Serban ^{[1
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2009年 / 35卷 / 04期

关键词：

Strong A-infinity weights; Newtonian spaces; Poincare inequality; Sobolev capacity; LIPSCHITZ FUNCTIONS; INEQUALITIES; MAPPINGS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article studies strong A-infinity weights in Ahlfors Q-regular unbounded and geodesic metric measure spaces satisfying a weak (1, s) Poincare inequality for some s in (1, Q] : For a fixed s in ( Q - 1, Q]; it is shown that a function u yields a strong A-infinity weight of the form w = exp (Qu) whenever the minimal s-weak upper gradient of u has sufficiently small Morrey s norm.

引用

页码：1233 / 1249

页数：17

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