THE EXTREME POINTS OF A CLASS OF ANALYTIC FUNCTIONS WITH POSITIVE REAL PART AND A PRESCRIBED SET OF VALUES

doi:10.1016/S0252-9602(12)60150-7

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (5): 1929-1936.doi: 10.1016/S0252-9602(12)60150-7

THE EXTREME POINTS OF A CLASS OF ANALYTIC FUNCTIONS WITH POSITIVE REAL PART AND A PRESCRIBED SET OF VALUES

彭志刚

Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China

收稿日期:2011-02-18 出版日期:2012-09-20 发布日期:2012-09-20
基金资助:
Supported by Educational Commission of Hubei Province of China (D2011006).

THE EXTREME POINTS OF A CLASS OF ANALYTIC FUNCTIONS WITH POSITIVE REAL PART AND A PRESCRIBED SET OF VALUES

PENG Zhi-Gang

Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China

Received:2011-02-18 Online:2012-09-20 Published:2012-09-20
Supported by:
Supported by Educational Commission of Hubei Province of China (D2011006).

摘要/Abstract

摘要：

Let ζ = (0, z₁, z₂, · · · , z_n) with |z_j| < 1 for 1 ≤ j ≤ n, ! = (1, w₁, w₂, · · · , w_n), and P(ζ, ω) denote the set of functions p(z) that are analytic in D = {z : |z| < 1} and satisfy Rep(z) > 0 (|z| < 1), p(0) = 1, p(z_j) = w_j, j = 1, 2, · · · , n. In this article we investigate the extreme points of P(ζ, ω).

关键词: extreme point, positive real part, Blaschke product

Abstract:

Key words: extreme point, positive real part, Blaschke product

中图分类号:

30C45

彭志刚. THE EXTREME POINTS OF A CLASS OF ANALYTIC FUNCTIONS WITH POSITIVE REAL PART AND A PRESCRIBED SET OF VALUES[J]. 数学物理学报(英文版), 2012, 32(5): 1929-1936.

PENG Zhi-Gang. THE EXTREME POINTS OF A CLASS OF ANALYTIC FUNCTIONS WITH POSITIVE REAL PART AND A PRESCRIBED SET OF VALUES[J]. Acta mathematica scientia,Series B, 2012, 32(5): 1929-1936.

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THE EXTREME POINTS OF A CLASS OF ANALYTIC FUNCTIONS WITH POSITIVE REAL PART AND A PRESCRIBED SET OF VALUES

THE EXTREME POINTS OF A CLASS OF ANALYTIC FUNCTIONS WITH POSITIVE REAL PART AND A PRESCRIBED SET OF VALUES

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