A note on global integrability of upper gradients of p-superharmonic functions
Outi Elina Maasalo; Anna Zatorska-Goldstein
Colloquium Mathematicae (2009)
- Volume: 117, Issue: 2, page 281-288
- ISSN: 0010-1354
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topOuti Elina Maasalo, and Anna Zatorska-Goldstein. "A note on global integrability of upper gradients of p-superharmonic functions." Colloquium Mathematicae 117.2 (2009): 281-288. <http://eudml.org/doc/283787>.
@article{OutiElinaMaasalo2009,
abstract = {We consider a complete metric space equipped with a doubling measure and a weak Poincaré inequality. We prove that for all p-superharmonic functions there exists an upper gradient that is integrable on H-chain sets with a positive exponent.},
author = {Outi Elina Maasalo, Anna Zatorska-Goldstein},
journal = {Colloquium Mathematicae},
keywords = {-superharmonic function; upper gradient; metric measure space},
language = {eng},
number = {2},
pages = {281-288},
title = {A note on global integrability of upper gradients of p-superharmonic functions},
url = {http://eudml.org/doc/283787},
volume = {117},
year = {2009},
}
TY - JOUR
AU - Outi Elina Maasalo
AU - Anna Zatorska-Goldstein
TI - A note on global integrability of upper gradients of p-superharmonic functions
JO - Colloquium Mathematicae
PY - 2009
VL - 117
IS - 2
SP - 281
EP - 288
AB - We consider a complete metric space equipped with a doubling measure and a weak Poincaré inequality. We prove that for all p-superharmonic functions there exists an upper gradient that is integrable on H-chain sets with a positive exponent.
LA - eng
KW - -superharmonic function; upper gradient; metric measure space
UR - http://eudml.org/doc/283787
ER -
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