Sobolev-type spaces from generalized Poincaré inequalities

Toni Heikkinen, Pekka Koskela, and Heli Tuominen. "Sobolev-type spaces from generalized Poincaré inequalities." Studia Mathematica 181.1 (2007): 1-16. <http://eudml.org/doc/284520>.

@article{ToniHeikkinen2007,
abstract = {We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.},
author = {Toni Heikkinen, Pekka Koskela, Heli Tuominen},
journal = {Studia Mathematica},
keywords = {Sobolev spaces; Poincaré inequality; upper gradient},
language = {eng},
number = {1},
pages = {1-16},
title = {Sobolev-type spaces from generalized Poincaré inequalities},
url = {http://eudml.org/doc/284520},
volume = {181},
year = {2007},
}

TY - JOUR
AU - Toni Heikkinen
AU - Pekka Koskela
AU - Heli Tuominen
TI - Sobolev-type spaces from generalized Poincaré inequalities
JO - Studia Mathematica
PY - 2007
VL - 181
IS - 1
SP - 1
EP - 16
AB - We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.
LA - eng
KW - Sobolev spaces; Poincaré inequality; upper gradient
UR - http://eudml.org/doc/284520
ER -