THE INVERSE RIEMANN MAPPING-THEOREM FOR RELATIVE CIRCLE DOMAINS

Authors
HE ZX SCHRAMM O
Citation
Zx. He et O. Schramm, THE INVERSE RIEMANN MAPPING-THEOREM FOR RELATIVE CIRCLE DOMAINS, Pacific journal of mathematics, 171(1), 1995, pp. 157-165
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Pacific journal of mathematics → ACNP
ISSN journal
00308730
Volume
171
Issue
1
Year of publication
1995
Pages
157 - 165
Database
ISI
SICI code
0030-8730(1995)171:1<157:TIRMFR>2.0.ZU;2-X
Abstract
A subdomain Omega contained in a domain A in the Riemann sphere is cal led a relative circle domain in A if each component of A - Omega is ei ther a closed disk or a point. Let Omega be a relative circle domain i n the unit disk U in the complex plane C; and let A be a simply connec ted proper subdomain of C. Then Omega is conformally homeomorphic to a relative circle domain in A.