Convex mappings on some circular domains

1. Barnard R W, FitzGerald C H, Gong S. A distortion theorem for biholomorphic mappings in ℂ₂. Trans Amer Math Soc, 344(3): 902–924 (1994)

   MathSciNet  Google Scholar 

2. Gong S. Convex and starlike mappings of several complex variables (in Chinese). In: Pure Mathematics and Applied Mathematics, Vol. 34. Beijing: Sciences Press, 1995

   Google Scholar 

3. Gong S, Wang S K, Yu Q H. Biholomorphic convex mappings of ball in ℂⁿ. Pacific J Math, 161(2): 287–306 (1993)

   MATH  MathSciNet  Google Scholar 

4. Hong Y. Convex maps in directed sum spaces. J SCUT, NS, 23: 16–22 (1995)

   Google Scholar 

5. Hong Y. Holomorphic automorphic group of unit ball in Banach spaces. J SCUT, NS, 25: 1–5 (1997)

   MATH  Google Scholar 

6. Hong Y, Chen W G. Convex mappings on some reinhardt domains. Acta Math Sinica, Engl Ser, 23: 965–972 (2007)

   Article  Google Scholar 

7. Hong Y, Lin Y Y. Convex maps on some Banach spaces and Banach convex domain. Acta Math, 38: 838–844 (1995)

   Google Scholar 

8. Krantz S G. Functional Theory of Several Complex Variables. New York: John Wiley and Sons, 1982

   Google Scholar 

9. Liu T S, Gong S. The growth theorem of biholomorphic convex mappings on B ^p (in Chinese). Chin Quart J Math, 6(1): 78–82 (1991)

   Google Scholar 

10. Liu T S, Zhang W J. On homogeneous expansion of biholomorphic convex mappings over Bp. Sci China Ser A, 40: 799–806 (1997)

    Article  MATH  MathSciNet  Google Scholar 

11. Lin Y Y, Hong Y. Some properties of holomorphic maps in Banach spaces (in Chinese). Acta Math Sinica, 38: 2: 234–241 (1995)

    MATH  MathSciNet  Google Scholar 

12. Roper K A, Suffridge T J. Convex mappings on the unit ball in ℂⁿ. J d’Analyse Nath, 65(2): 333–347 (1995)

    MATH  MathSciNet  Google Scholar 

13. Suffridge T J. The principle of subordination applied to functions of several variable. Pacific J Math, 1970, 33(2): 241–248 (1970)

    MATH  MathSciNet  Google Scholar 

14. Taylor A E, Lay D C. Introduction to Functional Analysis. New York: John Wiley and Sons, 1980

    MATH  Google Scholar 

15. Zhang W J, Dong D Z, Wu Y Z. The growth theorem of convex mappings on Banach space (in Chinese). Chin Quart J Math, 7(2): 84–87 (1991)

    Google Scholar 

16. Zhang WJ, Liu T S. On decomposition theorem of normalized biholomorphic convex mappings in Reinhardt domains. Sci China Ser A, 46: 94–106 (2003)

    Article  MathSciNet  Google Scholar 

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