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Some Fine Properties of BV Functions on Wiener Spaces

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Ambrosio L., Miranda Jr. M., Pallara D.

Analysis and Geometry in Metric Spaces

2015

tom 3

nr 1

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.

Ograniczanie wyników

1 Analysis and Geometry in Metric Spaces

1 Ambrosio L.

1 Miranda Jr. M.

1 Pallara D.

1 2015

Wyniki wyszukiwania

Some Fine Properties of BV Functions on Wiener Spaces