Displaying similar documents to “A Wong-Rosay type theorem for proper holomorphic self-maps”

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.

Some compactness theorems of families of proper holomorphic correspondences.

Nabil Ourimi (2003)

Publicacions Matemàtiques

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In this paper we prove some compactness theorems of families of proper holomorphic correspondences. In particular we extend the well known Wong-Rosay's theorem to proper holomorphic correspondences. This work generalizes some recent results proved in [17].