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DCフィールド | 値 | 言語 |
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dc.contributor.author | Hino, Masanori | en |
dc.contributor.alternative | 日野, 正訓 | ja |
dc.date.accessioned | 2009-12-28T00:45:01Z | - |
dc.date.available | 2009-12-28T00:45:01Z | - |
dc.date.issued | 2010-03-01 | - |
dc.identifier.issn | 0022-1236 | - |
dc.identifier.uri | http://hdl.handle.net/2433/89649 | - |
dc.description.abstract | In Euclidean space, the integration by parts formula for a set of finite perimeter is expressed by the integration with respect to a type of surface measure. According to geometric measure theory, this surface measure is realized by the one-codimensional Hausdorff measure restricted on the reduced boundary and/or the measure-theoretic boundary, which may be strictly smaller than the topological boundary. In this paper, we discuss the counterpart of this measure in the abstract Wiener space, which is a typical infinite-dimensional space. We introduce the concept of the measure-theoretic boundary in the Wiener space and provide the integration by parts formula for sets of finite perimeter. The formula is presented in terms of the integration with respect to the one-codimensional Hausdorff-Gauss measure restricted on the measure-theoretic boundary. | en |
dc.language.iso | eng | - |
dc.publisher | Elsevier Science B.V. Amsterdam | en |
dc.rights | c 2009 Elsevier Inc. All rights reserved. | en |
dc.rights | This is not the published version. Please cite only the published version. | en |
dc.rights | 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。 | ja |
dc.subject | Geometric measure theory | en |
dc.subject | Hausdorff-Gauss measure | en |
dc.subject | Set of finite perimeter | en |
dc.subject | Wiener space | en |
dc.title | Sets of finite perimeter and the Hausdorff-Gauss measure on the Wiener space | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Journal of Functional Analysis | en |
dc.identifier.volume | 258 | - |
dc.identifier.issue | 5 | - |
dc.identifier.spage | 1656 | - |
dc.identifier.epage | 1681 | - |
dc.relation.doi | 10.1016/j.jfa.2009.06.033 | - |
dc.textversion | author | - |
dcterms.accessRights | open access | - |
出現コレクション: | 学術雑誌掲載論文等 |
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