Necessary conditions for local convexifiability of pseudoconvex domains in
Kolář, Martin
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Displaying similar documents to “Local convexifiability of some rigid domains”
Necessary conditions for local convexifiability of pseudoconvex domains in
Normed domains of holomorphy.
Krantz, Steven G. (2010)
International Journal of Mathematics and Mathematical Sciences
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Counterexamples to the Gleason problem
Ulf Backlund, Anders Fällström (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Hölder continuity of proper holomorphic mappings
François Berteloot (1991)
Studia Mathematica
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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.
Proper Holomorphic Images of Strictly Pseudoconvex Domains.
Klas Diederich, John Eric Fornaess (1982)
Mathematische Annalen
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Proper holomorphic mappings vs. peak points and Shilov boundary
Łukasz Kosiński, Włodzimierz Zwonek (2013)
Annales Polonici Mathematici
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We present a result on the existence of some kind of peak functions for ℂ-convex domains and for the symmetrized polydisc. Then we apply the latter result to show the equivariance of the set of peak points for A(D) under proper holomorphic mappings. Additionally, we present a description of the set of peak points in the class of bounded pseudoconvex Reinhardt domains.