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- W4299786357 abstract "We prove that the Shilov boundary is invariant under proper holomorphic mappings between some classes of domains (containing among others quasi-balanced domains with the continuous Minkowski functionals). Moreover, we obtain an extension theorem for proper holomorphic mappings between quasi-circular domains. Using these results we show that there are no non-trivial proper holomorphic self-mappings in the tetrablock. Another important result of our work is a description of Shilov boundaries of a large class of domains (containing among other the symmetrized polydisc and the tetrablock). It is also shown that the tetrablock is not $mathbb C$-convex." @default.
- W4299786357 created "2022-10-03" @default.
- W4299786357 creator A5029849975 @default.
- W4299786357 date "2009-08-22" @default.
- W4299786357 modified "2023-10-18" @default.
- W4299786357 title "Geometry of quasi-circular domains and applications to tetrablock" @default.
- W4299786357 doi "https://doi.org/10.48550/arxiv.0908.3249" @default.
- W4299786357 hasPublicationYear "2009" @default.
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