|
|||||
|
|
|
|
|
|
|
|
|
The inverse Riemann
mapping theorem for relative circle domains
Zheng-Xu He and Oded Schramm |
|
Vol. 171 (1995), No. 1, 157–165
|
Abstract |
|
A subdomain Ω contained in a domain A in the Riemann sphere is called a relative circle domain in A if each component of A − Ω is either a closed disk or a point. Let Ω be a relative circle domain in the unit disk U in the complex plane ℂ; and let A be a simply connected proper subdomain of ℂ. Then Ω is conformally homeomorphic to a relative circle domain in A. |
Mathematical Subject Classification 2000
Primary: 30C35
Secondary: 30C20, 52C15
|
Milestones
Received: 3 November 1992
Revised: 23 September 1994
Published: 1 November 1995
|
Authors |
| Zheng-Xu He | |
| Oded Schramm | |
| Microsoft Corporation One Microsoft Way Redmond WA 98052 United States |
|
| http://research.microsoft.com/en-us/um/people/schramm/ | |
|
