On the smoothness of H\"older-doubling measures
Classical Analysis and ODEs
2007-05-23 v1 Functional Analysis
Abstract
In this paper we consider the question of whether the doubling character of a measure supported on a subset of 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.
Cite
@article{arxiv.0704.3785,
title = {On the smoothness of H\"older-doubling measures},
author = {David Preiss and Xavier Tolsa and Tatiana Toro},
journal= {arXiv preprint arXiv:0704.3785},
year = {2007}
}
Comments
26 pages, 1 figure