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dc.contributor.authorHino, Masanorien
dc.contributor.alternative日野, 正訓ja
dc.description.abstractIn 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.publisherElsevier Science B.V. Amsterdamen
dc.rightsc 2009 Elsevier Inc. All rights reserved.en
dc.rightsThis is not the published version. Please cite only the published version.en
dc.subjectGeometric measure theoryen
dc.subjectHausdorff-Gauss measureen
dc.subjectSet of finite perimeteren
dc.subjectWiener spaceen
dc.titleSets of finite perimeter and the Hausdorff-Gauss measure on the Wiener spaceen
dc.typejournal article-
dc.type.niitypeJournal Article-
dc.identifier.jtitleJournal of Functional Analysisen
dcterms.accessRightsopen access-
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