Convex and Starlike Mappings in Several Complex Variables (Hardcover)

Introduction: Introduction. Counterexamples. I. Criteria for Starlikeness for Holomorphic Mappings. II. Criteria for Convexity for Holomorphic Mappings. III. The Growth Theorem for Holomorphic Starlike Mappings. IV. The Growth Theorem for Holomorphic Convex Mappings. V. The Distortion Theorem for the Linear-invariant Family. VI. The Distortion Theorem for Holomorphic Convex and Starlike Mappings. VII. The Geometrical Properties for Holomorphic Convex Mappings on the Unit Ball. References. List of Symbols. Index.