Characterizing the volume via a Brunn-Minkowski type inequality (Q1622583)
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scientific article; zbMATH DE number 6981362
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizing the volume via a Brunn-Minkowski type inequality |
scientific article; zbMATH DE number 6981362 |
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Characterizing the volume via a Brunn-Minkowski type inequality (English)
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19 November 2018
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The author proves that, under very mild technical conditions, if a locally finite Borel measure satisfies a Brunn-Minkowski inequality in \(\mathbb R^n\) with a certain positive power, and for the family of all Euclidean balls, then the measure must be a constant multiple of the volume. For the entire collection see [Zbl 1392.52001].
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Brunn-Minkowski inequality
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volume
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