Average densities and linear rectifiability of measures
- We show that a measure in a Euclidean space is linearly rectifiable if and only if the lower 1-density is positive and finite and agrees with the lower average 1-density almost everywhere.
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| Author: | Peter Mörters |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-7893 |
| Series (Serial Number): | Preprints (rote Reihe) des Fachbereich Mathematik (294) |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 1999 |
| Year of first Publication: | 1999 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2000/04/03 |
| Tag: | Rectifiability; average density; order-two density |
| Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| MSC-Classification (mathematics): | 28-XX MEASURE AND INTEGRATION (For analysis on manifolds, see 58-XX) / 28Axx Classical measure theory / 28A75 Length, area, volume, other geometric measure theory [See also 26B15, 49Q15] |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |