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

Kazuhiro Kuwae, Yuichi Shiozawa

Research output: Contribution to journal › Article

Abstract

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.

Original languageEnglish
Pages (from-to)389-401
Number of pages13
JournalMathematische Nachrichten
Volume288
Issue number4
DOIs
Publication statusPublished - Mar 1 2015

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Dirichlet Form
Uniqueness
Metric

Keywords

  • Dirichlet form
  • Intrinsic metric
  • Silverstein extension
  • Symmetric Markov process

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms. / Kuwae, Kazuhiro; Shiozawa, Yuichi.

In: Mathematische Nachrichten, Vol. 288, No. 4, 01.03.2015, p. 389-401.

Research output: Contribution to journal › Article

Kuwae, K & Shiozawa, Y 2015, 'A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms', Mathematische Nachrichten, vol. 288, no. 4, pp. 389-401. https://doi.org/10.1002/mana.201300322
Kuwae K, Shiozawa Y. A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms. Mathematische Nachrichten. 2015 Mar 1;288(4):389-401. https://doi.org/10.1002/mana.201300322
Kuwae, Kazuhiro ; Shiozawa, Yuichi. / A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms. In: Mathematische Nachrichten. 2015 ; Vol. 288, No. 4. pp. 389-401.
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