호남수학학술지 (Honam Mathematical Journal)

  • 제22권1호
  • /
  • Pages.31-36
  • /
  • 2000
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

SOME GEOMETRIC APPLICATIONS OF EXTREMAL LENGTH(II)

  • CHUNG, BO-HYUN (Mathematics Section, College of Science and Technology, Hongik University)
  • 투고 : 2000.05.23
  • 발행 : 2000.07.30
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초록

In this paper, we introduce the extremal length and examine its properties and consider the applications of extremal length to conformal mappings. We obtain the theorems in the connection with "the extremal length zero" and "the fundamental sequences".

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참고문헌

  1. Conformal Invariants. Topics in Geometric Function Theory Ahlfors, L.V.
  2. Complex Analysis Ahlfors, L.V.
  3. Acta. Math. v.83 Ahlfors, L.V.;Beurling, A.
  4. The Theory of Cluster Set Collingwood, E.F.;Lohwater, A.J.
  5. Encyclopedic Dictionary of Mathematics, by the Mathematical Society of Japan Kiyosi Ito
  6. Elements of the Theory of Functions Knop, K.
  7. Dirichlet Problem, Extremal Length, and Prime Ends Ohtsuka, M.
  8. Bull. Amer. Math. Soc. v.80 The method of extremal length Rodin, B.
  9. Amer. J. Math. v.74 Properties of conformal invariants Wolontis, V.
  10. Conformal Mapping Nehari, Z.