ON GLOBAL SOBOLEV INEQUALITIES

被引：14
作者：
SALOFFCOSTE, L
机构：
[1] Laboratoire de Statistiques et Probabilités, Universite Paul Sabatier, 31062, Toulouse, Cedex
来源：
FORUM MATHEMATICUM | 1994年 / 6卷 / 03期
关键词：
D O I：
10.1515/form.1994.6.271
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the Euclidean space R(n), n greater-than-or-equal-to 2, if a function f has an integrable gradient, there exists a constant A (f) such that f - A (f) is in L(n/(n-1)). We study this question in a rather general setting. The main result specializes to Lie groups having polynomial volume growth, yielding a simple proof of a recent theorem of G. Alexopoulos and N. Lohoue.
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页码：271 / 286
页数：16
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