COMPOSITION OPERATORS FROM HARDY SPACES INTO alpha-BLOCH SPACES ON THE POLYDISK

被引：0
作者：
Li Songxiao [1 ]
机构：
[1] JiaYing Univ, Dept Math, Meizhou 514015, Guangdong, Peoples R China
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2005年 / 20卷 / 04期
关键词：
composition operator; Hardy space; alpha-Bloch space;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let phi(z) - (phi(1)(z),...(phi(n)(z)) be a holomorphic self-map of D-n, where D-n is the unit polydisk of C-n. The sufficient andnecessary conditions for a composition operator to be bounded and compact from the Hardy space H-2(D-n) into alpha-Bloch space B-alpha(D-n) on the polydisk are given.
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页码：703 / 708
页数：6
相关论文
共 8 条
  • [1] Cowen CC., 1995, STUDIES ADV MATH
  • [2] Prez-Gonzlez F., 2001, ACTA SCI MATH SZEGED, V67, P709
  • [3] Rudin W., 1969, FUNCTION THEORY POLY
  • [4] Composition operators on the Bloch space of several complex variables
    Shi, JH
    Luo, L
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2000, 16 (01): : 85 - 98
  • [5] Zhou Z. H., 2001, COMPLEX VARIABLES, V46, P73
  • [6] Zhou Z. H., 2001, SCINCE CHINA A, V31, P111
  • [7] Zhu K., 1990, OPERATOR THEORY FUNC
  • [8] 周泽华, 2002, [中国科学. A辑, 数学, Science in China], V32, P385
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