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On the smoothness of Holder doubling measures
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Preiss, David, Tolsa, X. and Toro, T. (2009) On the smoothness of Holder doubling measures. Calculus of Variations and Partial Differential Equations, Vol.35 (No.3). pp. 339-363. doi:10.1007/s00526-008-0208-z ISSN 0944-2669.
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Official URL: http://dx.doi.org/10.1007/s00526-008-0208-z
Abstract
It is known that in low dimensions supports of Holder doubling measures are C (1,beta) manifolds. In higher dimensions singularities may occur. We provide a full description of such supports by showing that they are C (1,beta) manifolds away from a closed set of measure zero and that at singular points they are uniformly far from being flat at every scale.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Calculus of Variations and Partial Differential Equations | ||||
Publisher: | Springer | ||||
ISSN: | 0944-2669 | ||||
Official Date: | July 2009 | ||||
Dates: |
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Volume: | Vol.35 | ||||
Number: | No.3 | ||||
Number of Pages: | 25 | ||||
Page Range: | pp. 339-363 | ||||
DOI: | 10.1007/s00526-008-0208-z | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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