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Some applications of extremal length to analytic functions

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대한수학회 (The Korean Mathematical Society)|2006.01|대한수학회논문집 (Communications of the KMS)|제21권 제1호|pp. 135-143

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Abstract

We consider some applications of extremal length to the boundary behavior of analytic functions and derive theorems in connection with the conformal mappings. It shows us the usefulness of the method of extremal length. And we present some geometric applications of extremal length. The method of extremal length lead to simple proofs of theorems.

참고문헌 (6)

  1. "\ref\key 1 \by L. V. Ahlfors \book Conformal Invariants.Topics in Geometric Function Theory \bookinfo McGraw-Hill"
  2. "Lectures on Quasiconformal Mappings" (1987)
  3. "\ref\key 5 \by E. F. Collingwood and A. J. Lohwater\book The Theory of Cluster Sets \bookinfo Cambridge Univ.Press"
  4. "\ref\key 9 \by Lehto and K. I. Virtanen \bookQuasiconformal Mappings in the Plane \bookinfo Springer-Verlag"
  5. "\ref\key 10 \by J. E. Mcmillan \paper Arbitraryfunctions defined on plane sets \jour Michigan Math\. J\."
  6. "\ref\key 14 \bysame \paper On quasiconformal mappingsin space \jour Ann\. Acad\. Sci\. Fenn\. Ser\. AI\. \vol298 \yr 1961 \pages 1--35\endref"

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