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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access August 14, 2015

Some Fine Properties of BV Functions on Wiener Spaces

  • Luigi Ambrosio , Michele Miranda Jr. and Diego Pallara


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.


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Received: 2015-1-10
Accepted: 2015-6-9
Published Online: 2015-8-14

© 2015 Luigi Ambrosio et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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