(Weak) Hardy and Poincare Inequalities and Criticality Theory

被引：2

作者：

Schmidt, Marcel ^{[1
]}

机构：

[1] Univ Leipzig, Math Inst, D-04109 Leipzig, Germany

来源：

DIRICHLET FORMS AND RELATED TOPICS: IN HONOR OF MASATOSHI FUKUSHIMA'S BEIJU (IWDFRT 2022) | 2022年 / 394卷

关键词：

Criticality theory; Hardy inequality; Poincare inequality; FORMS;

D O I：

10.1007/978-981-19-4672-1_22

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study Hardy and Poincare inequalities and their weak versions for quadratic forms satisfying the first Beurling-Deny criterion. We employ these inequalities to establish a criticality theory for such forms.

引用

页码：421 / 459

页数：39

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