Poincare and Sobolev type inequalities for vector-valued functions

被引:2
作者
Anastassiou, George A. [1 ]
机构
[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
关键词
Poincare inequality; Sobolev inequality; Banach space valued function;
D O I
10.1016/j.camwa.2008.02.012
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Various L-P form Poincare and Sobolev type inequalities are given for functions valued in a Banach vector space. We give applications on C. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1102 / 1113
页数:12
相关论文
共 6 条
[1]  
ACOSTA G, 2003, P AM MATH SOC, V132, P195
[2]  
ANASTASSIOU G, 2008, B HELLENIC IN PRESS
[3]  
[Anonymous], 1974, Elementary Functional Analysis
[4]   A note on sharp 1-dimensional Poincare inequalities [J].
Chua, SK ;
Wheeden, RL .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (08) :2309-2316
[5]  
Evans L. C, 2010, Partial Differential Equations, V19
[6]  
Schwartz L., 1967, Analyse Mathematique: Cours