A note on Sobolev type inequalities on graphs with polynomial volume growth

被引：2

作者：

Chen, Li ^{[1
]}

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

ARCHIV DER MATHEMATIK | 2019年 / 113卷 / 03期

关键词：

Graphs; Polynomial volume growth; Sobolev type inequalities; Poincare type inequalities; SPACES;

D O I：

10.1007/s00013-019-01329-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the generalized L-p-Poincare inequalities and Sobolev type inequalities on graphs with polynomial volume growth. They are optimal on Vicsek graphs.

引用

页码：313 / 323

页数：11

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