Home > Articles > Published articles > Differentiation bases for Sobolev functions on metric spaces |
Date: | 2004 |
Abstract: | We study Lebesgue points for Sobolev functions over other collections of sets than balls. Our main result gives several conditions for a differentiation basis, which characterize the existence of Lebesgue points outside a set of capacity zero. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Lebesgue points ; Capacity ; Maximal functions |
Published in: | Publicacions matemàtiques, V. 48 N. 2 (2004) , p. 381-395, ISSN 2014-4350 |
16 p, 142.6 KB |