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arXiv · 0704.3785

On the smoothness of Hölder-doubling measures

David Preiss·Xavier Tolsa·Tatiana Toro
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Abstract

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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David Preiss, Xavier Tolsa, Tatiana Toro. 2007-04-28. On the smoothness of Hölder-doubling measures. https://arxiv.org/abs/0704.3785

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