On coincidence of p-module of a family of curves and p-capacity on the Carnot group.

Markina, Irina. "On coincidence of p-module of a family of curves and p-capacity on the Carnot group.." Revista Matemática Iberoamericana 19.1 (2003): 143-160. <http://eudml.org/doc/39688>.

@article{Markina2003,
abstract = {The notion of the extremal length and the module of families of curves has been studied extensively and has given rise to a lot of applications to complex analysis and the potential theory. In particular, the coincidence of the p-module and the p-capacity plays an mportant role. We consider this problem on the Carnot group. The Carnot group G is a simply connected nilpotent Lie group equipped vith an appropriate family of dilations. Let omega be a bounded domain on G and Ko, K1 be disjoint non-empty compact sets in the closure of omega. We consider two quantities, associated with this geometrical structure...},
author = {Markina, Irina},
journal = {Revista Matemática Iberoamericana},
keywords = {Teoría del potencial; Grupos de Lie; -module of a family of curves; -capacity; Carnot-Carathéodory metrics; nilpotent Lie groups},
language = {eng},
number = {1},
pages = {143-160},
title = {On coincidence of p-module of a family of curves and p-capacity on the Carnot group.},
url = {http://eudml.org/doc/39688},
volume = {19},
year = {2003},
}

TY - JOUR
AU - Markina, Irina
TI - On coincidence of p-module of a family of curves and p-capacity on the Carnot group.
JO - Revista Matemática Iberoamericana
PY - 2003
VL - 19
IS - 1
SP - 143
EP - 160
AB - The notion of the extremal length and the module of families of curves has been studied extensively and has given rise to a lot of applications to complex analysis and the potential theory. In particular, the coincidence of the p-module and the p-capacity plays an mportant role. We consider this problem on the Carnot group. The Carnot group G is a simply connected nilpotent Lie group equipped vith an appropriate family of dilations. Let omega be a bounded domain on G and Ko, K1 be disjoint non-empty compact sets in the closure of omega. We consider two quantities, associated with this geometrical structure...
LA - eng
KW - Teoría del potencial; Grupos de Lie; -module of a family of curves; -capacity; Carnot-Carathéodory metrics; nilpotent Lie groups
UR - http://eudml.org/doc/39688
ER -