EXTREMAL LENGTH AND GEOMETRIC INEQUALITIES

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.

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.