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- W2740866927 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 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 -convex." @default.
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- W2740866927 date "2011-01-01" @default.
- W2740866927 modified "2023-09-26" @default.
- W2740866927 title "Geometry of quasi-circular domains and applications to tetrablock" @default.
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