ABSTRACT

This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the in

part |2 pages

Part I Univalent functions

chapter 3|58 pages

The Loewner theory

chapter 4|20 pages

Bloch functions and the Bloch constant

chapter 5|16 pages

Linear invariance in the unit disc

part |2 pages

Part II Univalent mappings in several complex variables and complex Banach spaces