An estimation of the tangent coefficients of a closed positive current in a domain of C3.

Philippe. Charpentier; Yves Dupain

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 1, page 319-349
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Charpentier, Philippe., and Dupain, Yves. "Une estimation des coefficients tangents d'un courant positif fermé dans un domaine de C3.." Publicacions Matemàtiques 36.1 (1992): 319-349. <http://eudml.org/doc/41148>.

@article{Charpentier1992,
author = {Charpentier, Philippe., Dupain, Yves},
journal = {Publicacions Matemàtiques},
keywords = {Funciones de variable compleja; Integrales de contorno; Dominios pseudoconvexos; Blaschke condition; plurisubharmonic function; Nevanlinna class},
language = {fre},
number = {1},
pages = {319-349},
title = {Une estimation des coefficients tangents d'un courant positif fermé dans un domaine de C3.},
url = {http://eudml.org/doc/41148},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Charpentier, Philippe.
AU - Dupain, Yves
TI - Une estimation des coefficients tangents d'un courant positif fermé dans un domaine de C3.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 1
SP - 319
EP - 349
LA - fre
KW - Funciones de variable compleja; Integrales de contorno; Dominios pseudoconvexos; Blaschke condition; plurisubharmonic function; Nevanlinna class
UR - http://eudml.org/doc/41148
ER -

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