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Exhausting domains of the symmetrized bidisc

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Arkiv för Matematik

Abstract

We show that the symmetrized bidisc may be exhausted by strongly linearly convex domains. It shows in particular the existence of a strongly linearly convex domain that cannot be exhausted by domains biholomorphic to convex ones.

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Correspondence to Włodzimierz Zwonek.

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This paper was written during the stay of the second author at the Carl von Ossietzky Universität Oldenburg (August 2010), supported by the DFG grant No. 436POL113/103/0-2. The second author was also supported by the research grant No. N N201 361436 of the Polish Ministry of Science and Higher Education.

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Pflug, P., Zwonek, W. Exhausting domains of the symmetrized bidisc. Ark Mat 50, 397–402 (2012). https://doi.org/10.1007/s11512-011-0153-5

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  • DOI: https://doi.org/10.1007/s11512-011-0153-5

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