Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks
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.
Gorde:
| Egile nagusia: | |
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| Formatua: | Artigo |
| Hizkuntza: | Inglês |
| Argitaratua: |
Wiley
2014-01-01
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| Saila: | Abstract and Applied Analysis |
| Sarrera elektronikoa: | http://dx.doi.org/10.1155/2014/419850 |
| Etiketak: |
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