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Extremal length and geometric inequalitiesExtremal length and geometric inequalities
- Other Titles
- Extremal length and geometric inequalities
- Authors
- 정보현
- Issue Date
- 2007
- Publisher
- 충청수학회
- Keywords
- extremal length; capacity; conformal mapping
- Citation
- 충청수학회지, v.20, no.2, pp.147 - 156
- Journal Title
- 충청수학회지
- Volume
- 20
- Number
- 2
- Start Page
- 147
- End Page
- 156
- ISSN
- 1226-3524
- Abstract
- We introduce the extremal length and examine its prop-erties. And we consider the geometric applications of extremallength to the boundary behavior of analytic functions, conformalmappings. We derive the theorem in connection with the capacity.This theorem applies the extremal length to the analytic functiondened on the domain with a number of holes. And we obtain thetheorems in connection with the pure geometric problems.
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