Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks
oleh: Yu-Ming Chu
| Format: | Article |
|---|---|
| Diterbitkan: | Wiley 2014-01-01 |
Deskripsi
We prove that a homeomorphism f:R2→R2 is a quasiconformal mapping if and only if f(D) is an arcwise connected domain for any arcwise connected domain D⊆R2, and D is a quasidisk if and only if both D and its exterior D*=R2∖D¯ are arcwise connected domains.