数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (5): 1453-1460.doi: 10.1016/S0252-9602(09)60117-X

• 论文 • 上一篇    下一篇

ON A NEW SINGULAR DIRECTION OF QUASIMEROMORPHIC MAPPINGS

 吴昭君, 孙道椿   

  1. 1.Department of Mathematics, Xianning University, Xianning |437100, China
    2.School of Mathematics, South China Normal University, Guangzhou 510631, China
  • 收稿日期:2006-12-25 修回日期:2008-08-09 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:

    Sponsored by the  NSFC (10471048)

ON A NEW SINGULAR DIRECTION OF QUASIMEROMORPHIC MAPPINGS

 WU Zhao-Jun, SUN Dao-Chun   

  1. 1.Department of Mathematics, Xianning University, Xianning |437100, China
    2.School of Mathematics, South China Normal University, Guangzhou 510631, China
  • Received:2006-12-25 Revised:2008-08-09 Online:2009-09-20 Published:2009-09-20
  • Supported by:

    Sponsored by the  NSFC (10471048)

摘要:

By applying Ahlfors' theory of covering surface, we establish a fundamental inequality for quasimeromorphic mapping in an angular domain. As an application, we prove the existence of a new singular direction for quasimeromorphic mapping f, namely, a precise S direction, for which the spherical characteristic function S(r, f) is used as a comparison function.

关键词: quasimeromorphic function, S direction, spherical characteristic function, covering surface

Abstract:

By applying Ahlfors' theory of covering surface, we establish a fundamental inequality for quasimeromorphic mapping in an angular domain. As an application, we prove the existence of a new singular direction for quasimeromorphic mapping f, namely, a precise S direction, for which the spherical characteristic function S(r, f) is used as a comparison function.

Key words: quasimeromorphic function, S direction, spherical characteristic function, covering surface

中图分类号: 

  • 30D30