Sets of finite perimeter and the Hausdorff – Gauss measure on the Wiener space ✩

@inproceedings{Hino2009SetsOF,
  title={Sets of finite perimeter and the Hausdorff – Gauss measure on the Wiener space ✩},
  author={Masanori Hino},
  year={2009}
}
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… CONTINUE READING
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