Two characterization of BV functions on Carnot groups via the heat semigroup (Q2917603)
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scientific article; zbMATH DE number 6088717
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two characterization of BV functions on Carnot groups via the heat semigroup |
scientific article; zbMATH DE number 6088717 |
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1 October 2012
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functions of bounded variation
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Carnot group
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Heat semigroup
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Two characterization of BV functions on Carnot groups via the heat semigroup (English)
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In the very interesting paper under review, the authors provide two different characterizations of sets with finite perimeter and functions of bounded variation in a Carnot groups, analogous to those in the Euclidean settings, in terms of the short-time behavior of the heat semigroup. The second one holds under the hypothesis that the reduced boundary of a set of finite perimeter is rectifiable, a result that presently is known in step 2 Carnot groups.
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