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Proper holomorphic maps between Reinhardt domains and strictly pseudoconvex domains

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Abstract

LetR be a Reinhardt domain andD a bounded simply connected strictly pseudoconvex domain withC ∞ boundary. We prove that any proper holomorphic mapF:R →D is, up to biholomorphism ofD, of the form\((z_1^{d_1 } , z_2^{d_2 } , \ldots , z_n^{d_n } )\) withd 1,d 2,…,d n ∈ IN.

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Authors and Affiliations

  1. Istituto Matematico “Ulisse Dini”, Viale Morgagni, 67/A, 50134, Firenze, Italy

    Gilberto Dini & Angela Selvaggi Primicerio

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  1. Gilberto Dini
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  2. Angela Selvaggi Primicerio
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Dini, G., Selvaggi Primicerio, A. Proper holomorphic maps between Reinhardt domains and strictly pseudoconvex domains. Rend. Circ. Mat. Palermo 38, 60–64 (1989). https://doi.org/10.1007/BF02844848

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  • DOI: https://doi.org/10.1007/BF02844848

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