Differentiation bases for Sobolev functions on metric spaces.
Publicacions Matemàtiques, Tome 48 (2004) no. 2, p. 381-395.
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.
Source:
Zbl
Classification : 46E35, 26B35 
@article{PMATES_2004__48_2_41501,
     author = {Petteri Harjulehto and Juha Kinnunen},
     title = {Differentiation bases for {Sobolev} functions on metric spaces.},
     journal = {Publicacions Matem\`atiques},
     pages = {381-395},
     volume = {48},
     number = {2},
     year = {2004},
     zbl = {an:1074.46023},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/PMATES_2004__48_2_41501/}
}
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%T Differentiation bases for Sobolev functions on metric spaces.
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%D 2004
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%G en
%F PMATES_2004__48_2_41501
Petteri Harjulehto; Juha Kinnunen. Differentiation bases for Sobolev functions on metric spaces.. Publicacions Matemàtiques, Tome 48 (2004) no. 2, p. 381-395. https://geodesic-test.mathdoc.fr/item/PMATES_2004__48_2_41501/