Riemann mapping theorem in ℂⁿ

• Autorzy: Krzysztof Jarosz
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 46J15: Banach algebras of differentiable or analytic functions, H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 106
• Numer: 1
• Strony: 199-206

Daty

wydano

2012

Twórcy

autor

Krzysztof Jarosz

• Department of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, IL 62026, U.S.A.

Identyfikatory

DOI

10.4064/ap106-0-15