Characterizing the volume via a Brunn-Minkowski type inequality (Q1622583)

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].