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Title: Dirichlet spaces on H-convex sets in Wiener space
Authors: Hino, Masanori  kyouindb  KAKEN_id
Author's alias: 日野, 正訓
Keywords: Dirichlet space
Convex set
Wiener space
Issue Date: Sep-2011
Publisher: Elsevier Masson SAS.
Journal title: Bulletin des Sciences Mathématiques
Volume: 135
Issue: 6-7
Start page: 667
End page: 683
Abstract: We consider the (1, 2)-Sobolev space W[1, 2](U) on subsets U in an abstract Wiener space, which is regarded as a canonical Dirichlet space on U. We prove that W[1, 2](U) has smooth cylindrical functions as a dense subset if U is H-convex and H-open. For the proof, the relations between H-notions and quasi-notions are also studied.
Rights: © 2011 Elsevier Masson SAS.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
URI: http://hdl.handle.net/2433/148012
DOI(Published Version): 10.1016/j.bulsci.2011.07.008
Appears in Collections:Journal Articles

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