Differentiation bases for Sobolev functions on metric spaces.

Harjulehto, Petteri, and Kinnunen, Juha. "Differentiation bases for Sobolev functions on metric spaces.." Publicacions Matemàtiques 48.2 (2004): 381-395. <http://eudml.org/doc/41501>.

@article{Harjulehto2004,
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.},
author = {Harjulehto, Petteri, Kinnunen, Juha},
journal = {Publicacions Matemàtiques},
keywords = {Espacios de funciones lineales; Espacios de Sobolev; Diferenciación de integrales; Operadores maximales},
language = {eng},
number = {2},
pages = {381-395},
title = {Differentiation bases for Sobolev functions on metric spaces.},
url = {http://eudml.org/doc/41501},
volume = {48},
year = {2004},
}

TY - JOUR
AU - Harjulehto, Petteri
AU - Kinnunen, Juha
TI - Differentiation bases for Sobolev functions on metric spaces.
JO - Publicacions Matemàtiques
PY - 2004
VL - 48
IS - 2
SP - 381
EP - 395
AB - 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.
LA - eng
KW - Espacios de funciones lineales; Espacios de Sobolev; Diferenciación de integrales; Operadores maximales
UR - http://eudml.org/doc/41501
ER -