Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (6): 1601-1612.

• Articles • Previous Articles     Next Articles

Loewner Chains and the Generalized Roper-Suffridge Extension Operator

  

  1. College of Mathematics and Information Science, Henan University, Henan Kaifeng 475004
  • Received:2007-04-08 Revised:2008-09-26 Online:2009-12-25 Published:2009-12-25
  • Supported by:

    国家自然科学基金(10626015, 10571044)资助

Abstract:

In this paper, the authors give the characterization of almost spirallike mappings of type β and order α on the unit ball B in finite dimensional complex Banach space from the Loewner chains point of view, and prove that the generalized Roper-Suffridge extension operator can be embedded in a Loewner chain on a bounded convex circular domain.

Key words: Loewner chain, Almost spirallike mapping of type β and order α, Generalized Roper-Suffridge extension operator

CLC Number: 

  • 32A30
Trendmd