ON WEIGHTED POINCARE INEQUALITIES

被引：17
|
作者：
Dyda, Bartlomiej [1 ,2 ]
Kassmann, Moritz [2 ]
机构：
[1] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland
[2] Univ Bielefeld, Fac Math, D-33501 Bielefeld, Germany
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2013年 / 38卷 / 02期
关键词：
Dirichlet forms; Sobolev spaces; Poincare inequality; fractional Poincare inequality;
D O I：
10.5186/aasfm.2013.3834
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this note is to show that Poincare inequalities imply corresponding weighted versions in a quite general setting. Fractional Poincare inequalities are considered, too. The proof is short and does not involve covering arguments.
引用
收藏
页码：721 / 726
页数：6
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