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 |
Acceso al artículo completo |