Geometric Function Theory: Explorations in Complex Analysis Book

* Preface

Part I: Classical Function Theory

* Invariant Geometry

* Variations on the Theme of the Schwarz Lemma

* Normal Families

* The Riemann Mapping Theorem and its Generalizations

* Boundary Regularity of Conformal Maps

* The Boundary Behavior of Holomorphic Functions

Part II: Real and Harmonic Analysis

* The Cauchy–Riemann Equations

* The Green's Function and the Poisson Kernel

* Harmonic Measure

* Conjugate Functions and the Hilbert Transform

* Wolff's Proof of the Corona Theorem

Part III: Algebraic Topics

* Automorphism Groups of Domains in the Plane

* Cousin Problems, Cohomology, and Sheaves

* Bibliography

* Index