Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지

EXTREMAL LENGTH AND GEOMETRIC INEQUALITIES

  • Chung, Bohyun (Mathematics Section, College of Science and Technology Hongik University)
  • Received : 2007.04.04
  • Published : 2007.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

We introduce the extremal length and examine its properties. And we consider the geometric applications of extremal length to the boundary behavior of analytic functions, conformal mappings. We derive the theorem in connection with the capacity. This theorem applies the extremal length to the analytic function defined on the domain with a number of holes. And we obtain the theorems in connection with the pure geometric problems.

Keywords