Fridman's invariant, squeezing functions, and exhausting domains

Fusheng Deng; Xujun Zhang

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arXiv · 1810.12724

Fridman's invariant, squeezing functions, and exhausting domains

Fusheng Deng·Xujun Zhang

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Abstract

We show that if a bounded domain $\Omega$ is exhausted by a bounded strictly pseudoconvex domain $D$ with $C^2$ boundary, then $\Omega$ is holomorphically equivalent to $D$ or the unit ball, and show that a bounded domain has to be holomorphically equivalent to the unit ball if its Fridman's invariant has certain growth condition near the boundary.

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Fusheng Deng, Xujun Zhang. 2018-10-30. Fridman's invariant, squeezing functions, and exhausting domains. https://arxiv.org/abs/1810.12724

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