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

Título inglés	On coincidence of p-module of a family of curves and p-capacity on the Carnot group.
Título español	Sobre la coincidencia del p-módulo de una familia de curvas y la p-capacidad en el grupo de Carnot.
Autor/es	Markina, Irina
Organización	Dep. Mat. Univ. Téc. Federico Santa María, Valparaiso, Chile
Revista	0213-2230
Publicación	2003, 19 (1): 143-160, 23 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	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...
Clasificación UNESCO	121008 ; 120221
Palabras clave español	Teoría del potencial ; Grupos de Lie
Código MathReviews	MR1993417
Código Z-Math	Zbl 1038.31006
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