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A NOTE ON EXTREMAL LENGTH AND CONFORMAL IMBEDDINGSA NOTE ON EXTREMAL LENGTH AND CONFORMAL IMBEDDINGS
- Other Titles
- A NOTE ON EXTREMAL LENGTH AND CONFORMAL IMBEDDINGS
- Authors
- 정보현
- Issue Date
- 2010
- Publisher
- 한국전산응용수학회
- Keywords
- Extremal length; conformal imbedding
- Citation
- Journal of Applied Mathematics and Informatics, v.28, no.5, pp.1315 - 1322
- Journal Title
- Journal of Applied Mathematics and Informatics
- Volume
- 28
- Number
- 5
- Start Page
- 1315
- End Page
- 1322
- ISSN
- 1598-5857
- Abstract
- Let D be a plane domain whose boundary consists of n compo-nents and C₁,C₂ two boundary components of D. We consider the family F1 of conformal mappings f satisfying f(D) ⊂ {1＜ lwl＜ μ(f)}, f(C₁) ={lwl = 1}, f(C₂) = {lwl = μ(f)}. There are conformal mappings g0, g1(∈F₁) onto a radial and a circular slit annulus respectively. We obtain the following theorem,[수식]And we consider the family Fn of conformal mappings □ from D onto a covering surfaces of the Riemann sphere satisfying some conditions. We obtain the following theorems,[수식]
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