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- W2216310412 abstract "Abstract In this paper we define jump set and approximate limits for BV functions on Wiener spaces and show that the weak gradient admits a decomposition similar to the finite dimensional case. We also define the SBV class of functions of special bounded variation and give a characterisation of SBV via a chain rule and a closure theorem. We also provide a characterisation of BV functions in terms of the short-time behaviour of the Ornstein-Uhlenbeck semigroup following an approach due to Ledoux." @default.
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- W2216310412 date "2015-08-14" @default.
- W2216310412 modified "2023-10-02" @default.
- W2216310412 title "Some Fine Properties of BV Functions on Wiener Spaces" @default.
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- W2216310412 doi "https://doi.org/10.1515/agms-2015-0013" @default.
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