Riemann mapping theorem in ℂⁿ
Krzysztof Jarosz
Annales Polonici Mathematici, Tome 105 (2012), p. 199-206 / Harvested from The Polish Digital Mathematics Library

The classical Riemann Mapping Theorem states that a nontrivial simply connected domain Ω in ℂ is holomorphically homeomorphic to the open unit disc 𝔻. We also know that "similar" one-dimensional Riemann surfaces are "almost" holomorphically equivalent. We discuss the same problem concerning "similar" domains in ℂⁿ in an attempt to find a multidimensional quantitative version of the Riemann Mapping Theorem

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:280194
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     author = {Krzysztof Jarosz},
     title = {Riemann mapping theorem in Cn},
     journal = {Annales Polonici Mathematici},
     volume = {105},
     year = {2012},
     pages = {199-206},
     zbl = {1269.46032},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap106-0-15}
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Krzysztof Jarosz. Riemann mapping theorem in ℂⁿ. Annales Polonici Mathematici, Tome 105 (2012) pp. 199-206. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap106-0-15/