Hölder continuity of proper holomorphic mappings
Studia Mathematica, Tome 100 (1991) no. 3, pp. 229-235
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.
Mots-clés :
proper holomorphic mappings, Hölder continuity, plurisubharmonic peak functions
@article{10_4064_sm_100_3_229_235,
author = {Fran\c{c}ois Berteloot},
title = {H\"older continuity of proper holomorphic mappings},
journal = {Studia Mathematica},
pages = {229--235},
year = {1991},
volume = {100},
number = {3},
doi = {10.4064/sm-100-3-229-235},
language = {de},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-100-3-229-235/}
}
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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