# Characterization of Minkowski measurability in terms of surface area

@article{Rataj2013CharacterizationOM, title={Characterization of Minkowski measurability in terms of surface area}, author={J. Rataj and S. Winter}, journal={Journal of Mathematical Analysis and Applications}, year={2013}, volume={400}, pages={120-132} }

Abstract The r -parallel set to a set A in Euclidean space consists of all points with distance at most r from A . Recently, the asymptotic behaviour of volume and surface area of the parallel sets as r tends to 0 has been studied and some general results regarding their relations have been established. Here we complete the picture regarding the resulting notions of Minkowski content and S -content. In particular, we show that a set is Minkowski measurable if and only if it is S -measurable, i… CONTINUE READING

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