论文标题
重新审视了弱椭圆形的不平等现象
The weak elliptic Harnack inequality revisited
论文作者
论文摘要
在本文中，我们首先从普遍的容量条件，跳跃度量的尾巴估计和庞加莱的不平等中得出了弱椭圆形的不平等，用于任何常规的Dirichlet形式，而不会使用生长的棘手和John-Nirenberg不平等，而不会在测量指标上杀死一部分。其次，对于任何（不一定是规则）的dirichlet形式而言，弱椭圆形不平等的弱椭圆形不等式的表征。我们第三提出了弱椭圆形的不平等现象的一些后果。
In this paper we firstly derive the weak elliptic Harnack inequality from the generalized capacity condition, the tail estimate of jump measure and the Poincaré inequality, for any regular Dirichlet form without killing part on a measure metric space, by using the lemma of growth and the John-Nirenberg inequality. We secondly show several equivalent characterizations of the weak elliptic Harnack inequality for any (not necessarily regular) Dirichlet form. We thirdly present some consequences of the weak elliptic Harnack inequality.
