Geodesic
Hölder continuity of proper holomorphic mappings
Studia Mathematica, Tome 100 (1991) no. 3, pp. 229-235

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove the Hölder continuity for proper holomorphic mappings onto certain piecewise smooth pseudoconvex domains with "good" plurisubharmonic peak functions at each point of their boundaries. We directly obtain a quite precise estimate for the exponent from an attraction property for analytic disks. Moreover, this way does not require any consideration of infinitesimal metric.
DOI : 10.4064/sm-100-3-229-235
Mots-clés : proper holomorphic mappings, Hölder continuity, plurisubharmonic peak functions

François Berteloot 1

1 
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François Berteloot. Hölder continuity of proper holomorphic mappings. Studia Mathematica, Tome 100 (1991) no. 3, pp. 229-235. doi: 10.4064/sm-100-3-229-235

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