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Absolute continuity of smooth measures

✍ Scribed by Yu. L. Daletskii; G. A. Sokhadze

Publisher
Springer US
Year
1988
Tongue
English
Weight
139 KB
Volume
22
Category
Article
ISSN
0016-2663

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Let us denote by C p ( K , .), r E {O,. . . , d -1)1 the curvature measures of a convex body K in the Euclidean space Ed with d 1. 2. According to Lebesgue's decomposition theorem the curvature measure of order r of K, C,(K, s), can be written as the sum of an absolutely continuous measure, C:(K, .)