WEAK CONVERGENCE OF REGULAR DIRICHLET SUBSPACES

Li, Liping; Uemura, Toshihiro; Ying, Jiangang

doi:https://doi.org/10.18910/66994

WEAK CONVERGENCE OF REGULAR DIRICHLET SUBSPACES

Li, Liping; Uemura, Toshihiro ; Ying, Jiangang

Osaka Journal of Mathematics, 2017, 54(3), 435-455

アクセス数:534件（2026-09-21 01:54 集計）

固定URL: https://doi.org/10.18910/66994

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タイトル	WEAK CONVERGENCE OF REGULAR DIRICHLET SUBSPACES
著者	著者名 Li, Liping
	NRID 1000030285332 1000030285332 著者名 Uemura, Toshihiro
	著者名 Ying, Jiangang
抄録	In this paper we shall prove the weak convergence of the associated diffusion processes of regular subspaces with monotone characteristic sets for a fixed Dirichlet form. More precisely, given a fixed 1-dimensional diffusion process and a sequence of its regular subspaces, if the characteristic sets of regular subspaces are decreasing or increasing, then their associated diffusion processes are weakly convergent to another diffusion process. This is an extended result of [14].
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	54(3)
ページ	435-455
刊行年月	2017-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/66994
DOI	https://doi.org/10.18910/66994
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 54, Number 3 （2017-7）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2017, 54(3), p. 435-455
DC.title	WEAK CONVERGENCE OF REGULAR DIRICHLET SUBSPACES
DC.creator	Li, Liping
	Uemura, Toshihiro
	Ying, Jiangang
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2017-07
DCTERMS.abstract	In this paper we shall prove the weak convergence of the associated diffusion processes of regular subspaces with monotone characteristic sets for a fixed Dirichlet form. More precisely, given a fixed 1-dimensional diffusion process and a sequence of its regular subspaces, if the characteristic sets of regular subspaces are decreasing or increasing, then their associated diffusion processes are weakly convergent to another diffusion process. This is an extended result of [14].
DC.identifier	10.18910/66994
DC.format	66994
citation_title	WEAK CONVERGENCE OF REGULAR DIRICHLET SUBSPACES
citation_author	Li, Liping
	Uemura, Toshihiro
	Ying, Jiangang
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2017-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	54
citation_issue	3
citation_firstpage	435
citation_lastpage	455
citation_public_url	https://hdl.handle.net/11094/66994
citation_doi_detail	10.18910/66994
citation_doi	https://doi.org/10.18910/66994

WEAK CONVERGENCE OF REGULAR DIRICHLET SUBSPACES

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