Proper Holomorphic Mappings in Tetrablock
نویسنده
چکیده
The theorem showing that there are no non-trivial proper holomorphic self-mappings in the tetrablock is proved. We obtain also some general extension results for proper holomorphic mappings and we prove that the Shilov boundary is invariant under proper holomorphic mappings between some classes of domains containing among others (m1, . . . , mn)-balanced domains. It is also shown that the tetrablock is not C-convex.
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