Geometric Function Theory in One and Higher Dimensions 1

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Geometric Function Theory in One and Higher Dimensions

Ian Graham • Gabriela Kohr

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560 sidor
2003

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 infinite-dimensional theory and provides numerous exercises in each chapter for further study. The authors present such topics as linear invariance in the unit disc, Bloch functions and the Bloch constant, and growth, covering and distortion results for starlike and convex mappings in Cn and complex Banach spaces.

Författare: Ian Graham, Gabriela Kohr
Format: Inbunden
ISBN: 9780824709761
Språk: Engelska
Antal sidor: 560
Utgivningsdatum: 2003-03-01
Förlag: CRC Press Inc