Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (1): 125-131.

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Loewner Chains Associated with the Generalized Roper-Suffridge Extension Operator on the Unit Ball in Hilbert Spaces

  

  1. 1. Department of Mathematics, Xuchang Vocutional Technical College2. College of Mathematics and Information Science, Henan University
  • Received:2008-06-30 Online:2009-03-30 Published:2023-09-11
  • About author:LIU Tao(1963- ), male, native of Xuchang, Henan, an associate professor of Xuchang Vocutional Technical College, engages in complex analysis.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10626015; 10571044); Supported by the Fundamental Research of National Natural Science Foundation of Henan University(04ZDZR004);

Abstract: In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of type β and order α, almost starlikeness of order α, spirallikeness of type of β and starlikeness.

Key words: Generalized Roper-Suffridge extension oprator, Loewner chains, Hilbert Space;
almost spirallike mapping of type β and order α

CLC Number: 

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