On the smoothness of Hölder-doubling measures

Details On the smoothness of Hölder-doubling measures On the smoothness of Hölder-doubling measures

2007-04-28

arxiv.org/abs/0704.3785v1

Mathematics

Classical Analysis and ODEs

26 pages, 1 figure

Scientific paper

In this paper we consider the question of whether the doubling character of a
measure supported on a subset of $\RR^m$ determines the regularity of its
support (in a classical sense). This problem was studied by David, Kenig and
Toro for codimension 1 sets under the assumption that the support be flat. Here
we study the higher codimension case and remove the flatness hypothesis.

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