Hölder continuity of proper holomorphic mappings

François Berteloot

ArticleOriginal scientific text

Title

Hölder continuity of proper holomorphic mappings

Authors ¹

Affiliations

U.F.R. de Mathématiques Pures et Appliquées, Université des Sciences et Techniques de Lille Flandres Artois, U.R.A. C.N.R.S. D 0751, 59655 Villeneuve d'Ascq Cedex, France

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.

Keywords

ENG

proper holomorphic mappings, Hölder continuity, plurisubharmonic peak functions

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Title

Hölder continuity of proper holomorphic mappings

Affiliations

Abstract

Keywords

Bibliography