SOME RESULTS RELATED TO EXTREMAL LENGTH, II

  • Jung, Wan-Soo (Department of Mathematics Soonchunhyang University) ;
  • Chung, Bo-Hyun (Mathematics Section, College of Science and technology Hongik University)
  • Received : 2003.05.24
  • Published : 2003.06.30

Abstract

In this note, we introduce the concept of the extremal length of a curve family in the complex plane and apply the extremal length to the boundary behavior of analytic functions. We consider some geometric applications of extremal length and establish applications connected with the logarithmic capacity.

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