학술논문
SOME APPLICATIONS OF EXTREMAL LENGTH TO CONFORMAL IMBEDDINGS
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- 영문명
- 발행기관
- 충청수학회
- 저자명
- Chung Bo Hyun
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 2, 211~216쪽, 전체 6쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2009.06.30
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국문 초록
영문 초록
Let G be a Denjoy domain and let G0 a Denjoy proper subdomain of G and homeomorphic to G. We consider conformal re-imbeddings of G0 into G. Let G and G0 are N-connected. We know that if N = 2, there is a re-imbedding f of G0 into G such that G ¡ cl(f(G0)) has an interior point. In this note, we obtain the following theorem. If N ¸ 3, G has a Denjoy proper subdomain G0 such that, for any re-imbeddings f of G0 into G, G ¡ cl(f(G0)) has no interior point.
목차
1. Introduction
2. Extremal length
3. Extremal length and conformal imbeddings
References
키워드
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