Differentiation bases for Sobolev functions on metric spaces.
Harjulehto, Petteri ; Kinnunen, Juha
Publicacions Matemàtiques, Tome 48 (2004), p. 381-395 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 2004-01-01
DMLE-ID : 4014 
@article{urn:eudml:doc:41501,
     title = {Differentiation bases for Sobolev functions on metric spaces.},
     journal = {Publicacions Matem\`atiques},
     volume = {48},
     year = {2004},
     pages = {381-395},
     zbl = {1074.46023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41501}
}

Harjulehto, Petteri; Kinnunen, Juha. Differentiation bases for Sobolev functions on metric spaces.. Publicacions Matemàtiques, Tome 48 (2004) pp. 381-395. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41501/