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An approximate Riemann mapping theorem in \({\mathbb{C}}^ n\)

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Publication:1067053
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DOI10.1007/BF01458582zbMath0579.32041MaRDI QIDQ1067053

Buma L. Fridman

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164132


zbMATH Keywords

unit ballapproximate Riemann mapping theorem in \({\mathbb{C}}^ n\)biholomorphic imbeddings


Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Embeddings in algebraic geometry (14E25) Other generalizations of function theory of one complex variable (32A30) Covering theorems in conformal mapping theory (30C25)


Related Items

Upper semicontinuity of automorphism groups ⋮ Projective geometry and Riemann's mapping problem ⋮ Mapping problems in complex analysis and the \overline∂-problem



Cites Work

  • Deformations of strictly pseudoconvex domains
  • Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
  • Proper holomorphic mappings
  • A Universal Exhausting Domain
  • A note on mapping polydiscs into balls and vice versa
  • Extremal Holomorphic Imbeddings Between the Ball and Polydisc
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