Título original |
Une estimation des coefficients tangents d'un courant positif fermé dans un domaine de C3. |
Título inglés |
An estimation of the tangent coefficients of a closed positive current in a domain of C3. |
Título español |
Una estimación de los coeficientes tangentes de una corriente positiva cerrada en un dominio de C3. |
Autor/es |
Charpentier, Philippe. ; Dupain, Yves |
Organización |
UFR Math. Info. Univ. Bordeaux I, Talence, Francia |
Revista |
0214-1493 |
Publicación |
1992, 36 (1): 319-349, 6 Ref. |
Tipo de documento |
articulo |
Idioma |
Francés |
Resumen inglés |
In this paper, we study the behaviour near the boundary of the complex tangent coefficients of a closed positive current in a bounded domain of C3 with C∞ boundary. Assuming that the current satisfies the Blaschke condition, we give a condition on the complex tangent coefficients which is better than the one which can be proved using the pseudo-distance introduced by A. Nagel, E. Stein and S. Wainger (in analogy with the case of domains in C2). Moreover, when the domain is supposed to be pseudoconvex, we show how our condition is related to D. Catlin's multitype. |
Clasificación UNESCO |
120211 |
Palabras clave español |
Funciones de variable compleja ; Integrales de contorno ; Dominios pseudoconvexos |
Acceso al artículo completo |