Singular functions on metric measure spaces.

Holopainen, Ilkka, and Shanmugalingam, Nageswari. "Singular functions on metric measure spaces.." Collectanea Mathematica 53.3 (2002): 313-332. <http://eudml.org/doc/42987>.

@article{Holopainen2002,
abstract = {On relatively compact domains in metric measure spaces we construct singular functions that play the role of Green functions of the p-Laplacian. We give a characterization of metric spaces that support a global version of such singular function, in terms of capacity estimates at infinity of such metric spaces. In addition, when the measure of the space is locally Q-regular, we study quasiconformal invariance property associated with the existence of global singular functions.},
author = {Holopainen, Ilkka, Shanmugalingam, Nageswari},
journal = {Collectanea Mathematica},
keywords = {Función singular; Función de Green; Mapeo; Función armónica; Espacio de medida; Espacios métricos; Green functions; -harmonic functions; -capacity; quasiconformal mappings; hyperbolicity},
language = {eng},
number = {3},
pages = {313-332},
title = {Singular functions on metric measure spaces.},
url = {http://eudml.org/doc/42987},
volume = {53},
year = {2002},
}

TY - JOUR
AU - Holopainen, Ilkka
AU - Shanmugalingam, Nageswari
TI - Singular functions on metric measure spaces.
JO - Collectanea Mathematica
PY - 2002
VL - 53
IS - 3
SP - 313
EP - 332
AB - On relatively compact domains in metric measure spaces we construct singular functions that play the role of Green functions of the p-Laplacian. We give a characterization of metric spaces that support a global version of such singular function, in terms of capacity estimates at infinity of such metric spaces. In addition, when the measure of the space is locally Q-regular, we study quasiconformal invariance property associated with the existence of global singular functions.
LA - eng
KW - Función singular; Función de Green; Mapeo; Función armónica; Espacio de medida; Espacios métricos; Green functions; -harmonic functions; -capacity; quasiconformal mappings; hyperbolicity
UR - http://eudml.org/doc/42987
ER -