Estimates on Moser embedding

被引：14

作者：

Beckner, W ^{[1
]}

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

来源：

POTENTIAL ANALYSIS | 2004年 / 20卷 / 04期

基金：

美国国家科学基金会;

关键词：

Moser embedding; Gagliardo-Nirenberg constants; convex asymptotic Sobolev bounds;

D O I：

10.1023/B:POTA.0000009813.38619.47

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A convexity relation in terms of dimension is obtained for Gagliardo-Nirenberg embedding constants. Such estimates give bounds with the correct asymptotic dependence on dimension.

引用

页码：345 / 359

页数：15

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