On the smoothness of Hölder-doubling measures

dc.creatorPreiss, David
dc.creatorTolsa, Xavier
dc.creatorToro, Tatiana
dc.date2007-04-28
dc.date.accessioned2026-07-07T07:58:39Z
dc.date.available2026-07-07T07:58:39Z
dc.descriptionIn 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.
dc.description26 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0704.3785
dc.identifierhttp://arxiv.org/abs/0704.3785
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128084
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject28A75, 49Q15, 58C35
dc.titleOn the smoothness of Hölder-doubling measures
dc.typetext

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