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Hölder conditions for the local times and the Hausdorff measure of the level sets of Gaussian random fields

✍ Scribed by Yimin Xiao


Publisher
Springer
Year
1997
Tongue
English
Weight
517 KB
Volume
109
Category
Article
ISSN
1432-2064

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Minimal sets for the Hausdorff measure o
✍ Elisabetta Maluta; Stanisław Prus 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 480 KB

It is proved that every bounded infinite set in a weakly compactly determined Banach space contains a subset minimal for the Hausdorff measure of noncompactness whose measure is the same as the measure of the whole set. Various coefficients related to minimal sets are also studied.