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A Characterization of Homogeneous Bounded Domains

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Complex Analysis

Part of the book series: Aspects of Mathematics ((ASMA,volume 1))

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Abstract

In recent years, characterizations of certain classes of bounded pseudoconvex domains have been studied by several authors. In connection with these studies, let us consider the following problem about a characterization of bounded weakly pseudoconvex domains:

Let Ω be a bounded weakly pseudoconvex domain in ℂn as a model space and let D be an another bounded domain in ℂn. If D and Ω are locally biholomorphically equivalent near a boundary point where a holomorphic automorphism orbit of a point accumulates, then are they biholomorphically equivalent?

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References

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© 1991 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Shimizu, S. (1991). A Characterization of Homogeneous Bounded Domains. In: Diederich, K. (eds) Complex Analysis. Aspects of Mathematics, vol 1. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-86856-5_40

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  • DOI: https://doi.org/10.1007/978-3-322-86856-5_40

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-86858-9

  • Online ISBN: 978-3-322-86856-5

  • eBook Packages: Springer Book Archive

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