04671nam 2200613 450 991082853420332120180327121422.00-8218-7733-X0-8218-5164-0(CKB)3240000000069671(EBL)3112994(SSID)ssj0000712597(PQKBManifestationID)11468827(PQKBTitleCode)TC0000712597(PQKBWorkID)10650160(PQKB)10197387(MiAaPQ)EBC3112994(WaSeSS)Ind00039615(RPAM)617492(PPN)197104673(EXLCZ)99324000000006967119921127h19931993 uy| 0engur|n|---|||||txtccrSeveral complex variables in China /Chung-Chun Yang, Sheng Gong, editorsProvidence, Rhode Island :American Mathematical Society,[1993]©19931 online resource (188 p.)Contemporary mathematics,0271-4132 ;142Description based upon print version of record.""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""Contemporary mathematics (American Mathematical Society) ;142.Functions of several complex variablesMathematicsResearchChinaFunctions of several complex variables.MathematicsResearch515/.94Yang Chung-Chun1942-Gong Sheng1930-MiAaPQMiAaPQMiAaPQBOOK9910828534203321Several Complex Variables in China376346UNINA