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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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