Holomorphic mappings between spaces of different dimensions. I.

Peichu Hu

Displaying similar documents to “Holomorphic mappings between spaces of different dimensions. I.”

Holomorphic mappings between spaces of different dimensions. II.

Peichu Hu (1994)

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Holomorphic Mappings in the Nevanlinna Class.

Robert Molzon (1983)

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The theorem of Forelli for holomorphic mappings into complex spaces

Pham Ngoc Mai, Do Duc Thai, Le Tai Thu (2004)

Annales Polonici Mathematici

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Generalizations of the theorem of Forelli to holomorphic mappings into complex spaces are given.

Proper holomorphic self-mappings of the symmetrized bidisc

Armen Edigarian (2004)

Annales Polonici Mathematici

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We characterize proper holomorphic self-mappings 𝔾₂ → 𝔾₂ for the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂): |λ₁|,|λ₂| < 1} ⊂ ℂ².

The Łojasiewicz exponent of c-holomorphic mappings

Maciej P. Denkowski (2005)

Annales Polonici Mathematici

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The aim of this paper is to study the Łojasiewicz exponent of c-holomorphic mappings. After introducing an order of flatness for c-holomorphic mappings we give an estimate of the Łojasiewicz exponent in the case of isolated zero, which is a generalization of the one given by Płoski and earlier by Chądzyński for two variables.

Recent developments in the theory of separately holomorphic mappings

Viêt-Anh Nguyên (2009)

Colloquium Mathematicae

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We describe a part of the recent developments in the theory of separately holomorphic mappings between complex analytic spaces. Our description focuses on works using the technique of holomorphic discs.

Proper holomorphic mappings between bounded complete Reinhardt domains in C2.

F. Berteloot, S. Pinchuk (1995)

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The range of vector valued holomorphic mappings

Richard M. Aron (1976)

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Normal families of proper holomorphic correspondences.

W. Klingenberg, S. Pinchuk (1991)

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Proper holomorphic self-mappings of Reinhardt domains.

Yifei Pan (1991)

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A uniqueness theorem of Cartan-Gutzmer type for holomorphic mappings in ℂⁿ

Piotr Liczberski, Jerzy Połubiński (2002)

Annales Polonici Mathematici

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We continue our previous work on a problem of Janiec connected with a uniqueness theorem, of Cartan-Gutzmer type, for holomorphic mappings in ℂⁿ. To solve this problem we apply properties of (j;k)-symmetrical functions.