A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms

作者：Kuwae Kazuhiro; Shiozawa Yuichi^*

来源：Mathematische Nachrichten, 2015, 288(4): 389-401.

DOI：10.1002/mana.201300322

• Dirichlet form
• Silverstein extension
• symmetric Markov process
• intrinsic metric

We prove the uniqueness of the Silverstein extension of symmetric Dirichlet forms under some condition on intrinsic metrics. As its application, we present some non-local Dirichlet forms which possess the uniqueness of the Silverstein extension and generate non-conservative Hunt processes.

• 出版日期2015-3