The Lempert theorem and the tetrablock

Details The Lempert theorem and the tetrablock The Lempert theorem and the tetrablock

2010-06-24

arxiv.org/abs/1006.4883v3

Mathematics

Complex Variables

to appear in Journal of Geometric Analysis

Scientific paper

In the paper we show that the Lempert theorem (i.e. the equality between the
Lempert function and the Carath\'eodory distance) holds in the tetrablock, a
bounded hyperconvex domain which is not biholomorphic to a convex domain.

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