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SOME APPLICATIONS OF EXTREMAL LENGTH TO CONFORMAL IMBEDDINGSSOME APPLICATIONS OF EXTREMAL LENGTH TO CONFORMAL IMBEDDINGS
- Other Titles
- SOME APPLICATIONS OF EXTREMAL LENGTH TO CONFORMAL IMBEDDINGS
- Authors
- Chung Bo-Hyun
- Issue Date
- 2009
- Publisher
- 충청수학회
- Keywords
- conformal imbedding; extremal length.
- Citation
- 충청수학회지, v.22, no.2, pp.211 - 216
- Journal Title
- 충청수학회지
- Volume
- 22
- Number
- 2
- Start Page
- 211
- End Page
- 216
- ISSN
- 1226-3524
- Abstract
- Let G be a Denjoy domain and let G' a Denjoy proper subdomain of G and homeomorphic to G. We consider conformal re-imbeddings of G' into G. Let G and G' are N-connected. We know that if N = 2, there is a re-imbedding f of G' into G such that G - cl(f(G')) has an interior point. In this note, we obtain the following theorem. If N ≥ 3, G has a Denjoy proper subdomain G' such that, for any re-imbeddings f of G' into G, G - cl(f(G')) has no interior point.
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Collections - 교학처 > 교양과(세종) > 1. Journal Articles
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