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 › peer-review

2 Citations (Scopus)

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

Keywords

Dirichlet form
Intrinsic metric
Silverstein extension
Symmetric Markov process

ASJC Scopus subject areas

Mathematics(all)

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title = "A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms",

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.",

keywords = "Dirichlet form, Intrinsic metric, Silverstein extension, Symmetric Markov process",

author = "Kazuhiro Kuwae and Yuichi Shiozawa",

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N2 - 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.

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KW - Intrinsic metric

KW - Silverstein extension

KW - Symmetric Markov process

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

Abstract

Keywords

ASJC Scopus subject areas

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