On the smoothness of Hölder-doubling measures

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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.
26 pages, 1 figure

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Classical Analysis and ODEs, Functional Analysis, 28A75, 49Q15, 58C35

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http://salesiana.dossiersoluciones.com/handle/123456789/128084

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.3785
 http://arxiv.org/abs/0704.3785

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arXiv