Hölder quasicontinuity of Sobolev functions on metric spaces.

Hajlasz, Piotr, and Kinnunen, Juha. "Hölder quasicontinuity of Sobolev functions on metric spaces.." Revista Matemática Iberoamericana 14.3 (1998): 601-622. <http://eudml.org/doc/39558>.

@article{Hajlasz1998,
abstract = {We prove that every Sobolev function defined on a metric space coincides with a Hölder continuous function outside a set of small Hausdorff content or capacity. Moreover, the Hölder continuous function can be chosen so that it approximates the given function in the Sobolev norm. This is a generalization of a result of Malý [Ma1] to the Sobolev spaces on metric spaces [H1].},
author = {Hajlasz, Piotr, Kinnunen, Juha},
journal = {Revista Matemática Iberoamericana},
keywords = {Espacios de Sobolev; Funciones continuas; Espacios métricos; Desigualdad de Hölder},
language = {eng},
number = {3},
pages = {601-622},
title = {Hölder quasicontinuity of Sobolev functions on metric spaces.},
url = {http://eudml.org/doc/39558},
volume = {14},
year = {1998},
}

TY - JOUR
AU - Hajlasz, Piotr
AU - Kinnunen, Juha
TI - Hölder quasicontinuity of Sobolev functions on metric spaces.
JO - Revista Matemática Iberoamericana
PY - 1998
VL - 14
IS - 3
SP - 601
EP - 622
AB - We prove that every Sobolev function defined on a metric space coincides with a Hölder continuous function outside a set of small Hausdorff content or capacity. Moreover, the Hölder continuous function can be chosen so that it approximates the given function in the Sobolev norm. This is a generalization of a result of Malý [Ma1] to the Sobolev spaces on metric spaces [H1].
LA - eng
KW - Espacios de Sobolev; Funciones continuas; Espacios métricos; Desigualdad de Hölder
UR - http://eudml.org/doc/39558
ER -