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

Kazuhiro Kuwae; Yuichi Shiozawa

doi:10.1002/mana.201300322

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

Kazuhiro Kuwae, Yuichi Shiozawa

Graduate School of Natural Science and Technology

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 language	English
Pages (from-to)	389-401
Number of pages	13
Journal	Mathematische Nachrichten
Volume	288
Issue number	4
DOIs	https://doi.org/10.1002/mana.201300322
Publication status	Published - Mar 1 2015

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Keywords

Dirichlet form
Intrinsic metric
Silverstein extension
Symmetric Markov process

ASJC Scopus subject areas

Mathematics(all)

Cite this

Kuwae, K., & Shiozawa, Y. (2015). A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms. Mathematische Nachrichten, 288(4), 389-401. https://doi.org/10.1002/mana.201300322

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Access to Document

10.1002/mana.201300322