Prolongement de courants positifs a travers de petits obstacles

Poly, Jean-Baptiste; Raby, Gilles

doi:10.1090/S0002-9939-99-04890-X

Prolongement de courants positifs a travers de petits obstacles
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by Jean-Baptiste Poly and Gilles Raby

Proc. Amer. Math. Soc. 127 (1999), 2091-2098

DOI: https://doi.org/10.1090/S0002-9939-99-04890-X

Published electronically: 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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