关于Hölder-doubling测度的光滑性
On the smoothness of Hölder-doubling measures
摘要：
在本文中，我们考虑的问题，是否加倍字符的措施支持的子集$\RR^m$决定其支持的正则性（在经典意义上）。这个问题是由大卫，凯尼格和托罗研究余维1集的假设下，支持是平坦的。在这里，我们研究高余维的情况下，删除平坦性假设。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
