Extension of Proper Holomorphic Mappings Past the Boundary.

Eric Bedford; Steve Bell

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An explicit holomorphic map of bounded domains in Cn with C2-Boundary onto the poydisc.

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Boundary Behavior of Proper Holomorphic Correspondences.

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On the continuous extension of holomorphic correspondences

F. Berteloot, A. Sukhov (1997)

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Proper holomorphic mappings vs. peak points and Shilov boundary

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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.

Some compactness theorems of families of proper holomorphic correspondences.

Nabil Ourimi (2003)

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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].