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Prolongement de courants positifs a travers de petits obstacles
Author(s):
Jean-Baptiste
Poly;
Gilles
Raby
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2091-2098.
MSC (1991):
Primary 32C30, 32D15, 53C65, 32C25
Posted:
March 16, 1999
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Abstract:
In this paper, we prove an extension theorem through closed subsets having small Haussdorff dimension, for positive currents whose boundary satisfies some growth condition. As a corollary, we get the classical Harvey's extension theorem for closed positive currents. Furthermore, we apply our result to study the boundary of holomorphic chains.
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Additional Information:
Jean-Baptiste
Poly
Affiliation:
ESA CNRS 6086 Groupes de Lie et Géométrie, Laboratoire de Mathematiques, Universite de Poitiers, 40 Avenue du Recteur Pineau, 86022 Poitiers, France
Email:
poly@wallis.univ-poitiers.fr
Gilles
Raby
Affiliation:
ESA CNRS 6086 Groupes de Lie et Géométrie, Laboratoire de Mathematiques, Universite de Poitiers, 40 Avenue du Recteur Pineau, 86022 Poitiers, France
Email:
raby@mathrs.univ-poitiers.fr
DOI:
10.1090/S0002-9939-99-04890-X
PII:
S 0002-9939(99)04890-X
Keywords:
Courants positifs,
prolongement,
mesure de Haussdorff,
cha{\^\i}nes holomorphes
Received by editor(s):
October 14, 1997
Posted:
March 16, 1999
Communicated by:
Steven R. Bell
Copyright of article:
Copyright
1999,
American Mathematical Society
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