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Regional pre - Schwarz derivative of the inner radius of univalency

Author: TuLiLi
Tutor: ChenJiXiu
School: Fudan University
Course: Basic mathematics
Keywords: Universal Teichmüller space pre - Schwarz guide number Inner diameter of single leaf
CLC: O174.55
Type: Master's thesis
Year: 2009
Downloads: 35
Quote: 1
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Abstract


This paper studies the pre - Schwarz derivative of the planar region univalency diameter , the inner diameter of the common area of the the hyperbolic right branch of the left area and the triangular external area univalency lower bound estimates . The paper is divided into three chapters. The first chapter is the introduction, we will briefly introduce quasiconformal mappings and Teichm ( u | ¨ ) ller space theory , as well as the latest developments in the situation described in this study and the results obtained . In the second chapter , we will study the unbounded region pre - Schwarz derivative of the inner radius of univalency Teichm ( u | ¨ ) ller space pre - Schwarz derivative embedded in the model point to the minimum distance of the boundary problem . We will give the the hyperbolic right branch of the left area and triangular outer region univalency inner diameter of the lower bound estimates. In the third chapter , we study the the strong star like regional pre - Schwarz derivative single leaf inside diameter based on make promotion, given some of the common areas of the pre - Schwarz derivative lower bound estimate of the inner radius of univalency .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Theory of functions > Complex analysis,complex function > Quasiconformal mappings (to be conformal mapping ), to be analytic functions,generalized analytic functions
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