Prolongement de courants positifs a travers de petits obstacles
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- by Jean-Baptiste Poly and Gilles Raby PDF
- Proc. Amer. Math. Soc. 127 (1999), 2091-2098 Request permission
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.References
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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
- Received by editor(s): October 14, 1997
- Published electronically: March 16, 1999
- Communicated by: Steven R. Bell
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2091-2098
- MSC (1991): Primary 32C30, 32D15, 53C65, 32C25
- DOI: https://doi.org/10.1090/S0002-9939-99-04890-X
- MathSciNet review: 1605933