This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions. It introduces the infinite-dimensional theory and provides numerous exercises in each chapter for further study.
, Gabriela Kohr
CRC Press Inc
Country of Publication:
18 March 2003
Professional and scholarly
Professional & Vocational
Further / Higher Education
Univalent functions: elementary properties of univalent functions; subclasses of univalent functions in the unit disc; the Loewner theory; Bloch functions and the Bloch constant; linear invariance in the unit disc; univalent mappings in several complex variables and complex Banach spaces; univalence in several complex variables; growth, covering and distortion results for starlike and convex mappings in Cn and complex Banach spaces; Loewner chains in several complex variables; Bloch constant problems in several complex variables; linear invariance in several complex variables; univalent mappings and the Roper-Suffridge extension operator.
Graham, Ian; Kohr, Gabriela
Reviews for Geometric Function Theory in One and Higher Dimensions
presents a unique overview. ---Extract de L' Enseignement Mathematique