TITLE

# On the smoothness of Hï¿½lder doubling measures

AUTHOR(S)
Preiss, D.; Tolsa, X.; Toro, T.
PUB. DATE
July 2009
SOURCE
Calculus of Variations & Partial Differential Equations;Jul2009, Vol. 35 Issue 3, p339
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
It is known that in low dimensions supports of Hï¿½lder doubling measures are C1, ï¿½ manifolds. In higher dimensions singularities may occur. We provide a full description of such supports by showing that they are C1, ï¿½ manifolds away from a closed set of measure zero and that at singular points they are uniformly far from being flat at every scale.
ACCESSION #
36624682

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