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An explicit holomorphic map of bounded domains in ℂn with c2-boundary onto the polydisc

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Abstract

It is shown that any bounded domain in ℂn with C2-boundary can be mapped onto the polydisc of the same dimension.The mapping is given explicitly as a composition of elementary functions.

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References

  1. J.E. Fornaess and E.L. Stout: Polydiscs in complex manifolds. Math.Ann. 227 (1977),145–153

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  2. J.E. Fornaess and E.L. Stout: Regular holomorphic images of balls. Annales de l'Institut Fourier, no. 32 (1982)

  3. W. Rudin: Function theory in the unit ball of ℂn. Springer-Verlag, New York (1980)

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Løw, E. An explicit holomorphic map of bounded domains in ℂn with c2-boundary onto the polydisc. Manuscripta Math 42, 105–113 (1983). https://doi.org/10.1007/BF01169578

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  • DOI: https://doi.org/10.1007/BF01169578

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