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Geometric Function Theory In One And Higher Dimensions

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Author(s): Ian Graham, Gabriela Kohr
Series: Monographs and textbooks in pure and applied mathematics 255
Publisher: Marcel Dekker
Year: 2003

Language: English
Pages: 552
City: New York

Preface......Page 12
Contents......Page 14
Introduction......Page 20
Part I Univalent functions......Page 24
Elementary properties of univalent functions......Page 25
Subclasses of univalent functions in the unit disc......Page 49
The Loewner theory......Page 109
Bloch functions and the Bloch constant......Page 167
Linear invariance in the unit disc......Page 187
Part II Univalent mappings in several complex variables and complex Banach spaces......Page 203
Univalence in several complex variables......Page 205
Growth, covering and distortion results for starlike and convex mappings in Cn and complex Banach spaces......Page 277
Loewner chains in several complex variables......Page 317
Bloch constant problems in several complex variables......Page 399
Linear invariance in several complex variables......Page 417
Univalent mappings and the Roper-Suffridge extension operator......Page 465
Bibliography......Page 499
List of Symbols......Page 543
Index......Page 549