Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (1): 131-136.

• Articles • Previous Articles     Next Articles

EXTREME POINTS AND SUPPORT POINTS OF A CLASS OF ANALYTIC FUNCTIONS

 BANG Zhi-Gang, LIU Lun-Gang   

  1. College of Mathematics and Computer Science, Hubei University, Wuhan 430062, China Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • Online:2000-01-07 Published:2000-01-07

PDF (PC)

1287

Abstract:

Suppose that {bn} and {cn} are two positive sequences. Let F({bn}, {cn}) = {f(z) : f(z) is analytic in |z| < 1, f(z) = z − P+1 n=2 anzn, an  0,P+1 n=2 bnan  1 and P+1 n=2 cnan  1}. This article obtains the extreme points and support points of F({bn}, {cn}).

Key words: Topology of uniform convergence, compact subsets of the unit disk, extreme point, support point

CLC Number: 

  • 30C45
Trendmd
Copyright © Editorial Office of Acta Mathematica Scientia
Add: P. O. Box 71010, Wuhan 430071, China　Tel: 027-87199206(中文版)　027-87199087(英文版)
E-mail: actams@wipm.ac.cn