Hölder continuity of proper holomorphic mappings
Volume 100 / 1991
Studia Mathematica 100 (1991), 229-235
DOI: 10.4064/sm-100-3-229-235
Abstract
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.