Boundary Behaviour of Conformal Maps

• Main Author: Pommerenke, Christian
• Format: eBook
• Language: English
• Published: Berlin, Heidelberg Springer Berlin / Heidelberg 1992; Springer Berlin Heidelberg
• Edition: 1
• Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
• Subjects: Conformal mapping; Functions of a Complex Variable; Functions of complex variables; Mathematics; Mathematics and Statistics; Measurement Science and Instrumentation

We study the boundary behaviour of a conformal map of the unit disk onto an arbitrary simply connected plane domain. A principal aim of the theory is to obtain a one-to-one correspondence between analytic properties of the function and geometrie properties of the domain. In the classical application...