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

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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. 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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