Differentiation bases for Sobolev functions on metric spaces.
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Autores: Petteri Harjulehto, Juha Kinnunen
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 48, Nº 2, 2004, págs. 381-395
- Idioma: español
- DOI: 10.5565/publmat_48204_05
- Enlaces
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Resumen
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.
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