BLASCHKE PRODUCTS IN LIPSCHITZ SPACES

被引：4
作者：
Jevtic, Miroljub [1 ]
机构：
[1] Univ Beogradu, Matemat Fak, Belgrade 11000, Serbia
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2009年 / 52卷
关键词：
Blaschke products; Lipschitz space; Hardy space; Bergman space;
D O I：
10.1017/S001309150700065X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the membership of Blaschke products in Lipschitz spaces, especially for interpolating Blaschke products and for those whose zeros lie in a Stolz angle. We prove several theorems that complement or extend the earlier works of Ahern and the author.
引用
收藏
页码：689 / 705
页数：17
相关论文
共 15 条
  • [1] MEAN MODULUS AND THE DERIVATIVE OF AN INNER FUNCTION
    AHERN, P
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (02) : 311 - 347
  • [2] Ahern P., 1984, COMPLEX VARIABLES TH, V3, P431, DOI [10.1080/17476938408814081, DOI 10.1080/17476938408814081]
  • [3] [Anonymous], 1981, BOUNDED ANAL FUNCTIO
  • [4] DUREN P., 2004, Bergman spaces, V100
  • [5] Duren P.L., 1970, Theory of Hp Spaces
  • [6] Integrability of the derivative of a Blaschke product
    Girela, Danel
    Pelaez, Jose Angel
    Vukotic, Dragan
    [J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2007, 50 : 673 - 687
  • [7] Spaces of analytic functions of Hardy-Bloch type
    Girela, Daniel
    Pavlovic, Miroslav
    Pelaez, Jose Angel
    [J]. JOURNAL D ANALYSE MATHEMATIQUE, 2006, 100 (1): : 53 - 81
  • [8] GLUCHOFF A, 1983, COMPLEX VARIABLES TH, V1, P311
  • [9] Hedenmalm H., 2000, GRAD TEXT M, V199
  • [10] A NOTE ON BLASCHKE PRODUCTS WITH ZEROS IN A NONTANGENTIAL REGION
    JEVTIC, M
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1989, 32 (01): : 18 - 23
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