Several complex variables in China / / Chung-Chun Yang, Sheng Gong, editors

• Record Nr.: UNINA9910828534203321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1993]; ©1993
• ISBN: 0-8218-7733-X; 0-8218-5164-0
• Descrizione fisica: 1 online resource (188 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 142
• Disciplina: 515/.94
• Soggetti: Functions of several complex variables; Mathematics - Research - China
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di contenuto: ""Contents""; ""Preface""; ""Contributors""; ""Complex Geometry in China""; ""Biholomorphic Mappings in Several Complex Variables""; ""Introduction""; ""I. The conditions of starlikeness, convexity and univalency for a holomorphic mapping""; ""1. The necessary and sufficient conditions of starlikeness for a holomorphic mapping on Reinhardt domain Dp""; ""2. The necessary and sufficient conditions of starlikeness for a holomorphic mapping on Caratheodory complete domain""; ""3. The sufficient condition of univalency for a locally biholomorphic mapping""; ""4. The necessary and sufficient condition of convexity for holomorphic mapping""""II. Distortion theorem for biholomorphic mappings on transitive domains""; ""1. Distortion theorem for the family of A-invariant mappings on the unit ball""; ""2. Jacobian determinant of the biholomorphic mappings on transitive domains""; ""3. Distortion theorem for the family of A-invariant mappings on bounded symmetric domains""; ""4. Distortion theorem for the family of biholomorphic starlike mappings on bounded symmetric domains""; ""III. Growth theorem and covering theorem for biholomorphic starlike mappings""""1. Growth theorem and covering theorem for biholomorphic starlike mappings on the unit ball""; ""2. Growth theorem and covering theorem for biholomorphic starlike mappings on ; Reinhardt domain Bp""; ""3. Growth theorem and covering theorem for biholomorphic starlike mappings on classical domains""; ""4. Another growth theorem for biholomorphic starlike mappings on classical domains""; ""5. Growth theorem and covering theorem for biholomorphic starlike mappings on Banach space""; ""IV. Biholomorphic convex mappings""""1. Distortion theorem for biholomorphic convex mappings on bounded symmetric domains""; ""2. Growth theorem and distortion theorem for biholomorphic convex mappings on the unit ball and on the Reinhardt domains""; ""3. Growth theorem for biholomorphic convex mappings on bounded symmetric domains""; ""4. Distortion theorem for biholomorphic convex mappings on bounded non-symmetric transitive domains""; ""5. Distortion theorem for locally biholomorphic convex mappings on bounded symmetric domains""; ""V. Schwarzian derivatives""; ""1. Schwarzian derivatives on classical domains""""2. Schwarzian curvatures of holomorphic curves""; ""VI. The Bloch constant of holomorphic mappings on bounded symmetric domains""; ""1. The Bloch constant of holomorphic mappings on the unit ball""; ""2. The Bloch constant of holomorphic mappings on classical domains""; ""3. The Bloch constant of holomorphic mappings on bounded symmetric domains""; ""References""; ""Global Lojasiewicz Inequality, Defect Relation and Applications of Holomorphic Curve Theory""; ""Factorization of Meromorphic Functions in Several Complex Variables""; ""Some Results on Singular Integrals and Function Spaces in Several Complex Variables""