A+ CATEGORY SCIENTIFIC UNIT

Hölder continuity of proper holomorphic mappings

Volume 100 / 1991

François Berteloot 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.

Authors

  • François Berteloot

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