Complete hyperbolicity of Hartogs domain
https://doi.org/10.1007/s00229-003-0388-yPublisher, magazine: ,
Publication year: 2003
Lưu Trích dẫn Chia sẻAbstract
Let X be a complex space and φ:X→[−∞,∞) an upper semicontinuous function on X. Consider the Hartogs domain Ωφ(X) given by Ωφ(X)={(z, w)∈X×C: |w| < e −φ(z)}. In this article, some necessary and sufficient conditions on the complete hyperbolicity of Ωφ(X) are established.
Tags: Complex Space; Semicontinuous Function; Hartogs Domain; Complete Hyperbolicity
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