WEIGHTED COMPOSITION OPERATORS BETWEEN BERGMAN AND BLOCH SPACES

被引:4
作者
Sharma, Ajay K. [1 ]
Kumari, Rekha [2 ]
机构
[1] Shri Mata Vaishno Devi Univ, Sch Appl Phys & Math, PO Kakryal, Udhampur 182121, India
[2] Univ Jammu, Dept Math, Jammu 180006, India
来源
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2007年 / 22卷 / 03期
关键词
Bergman spaces; Bloch spaces; little Bloch spaces; weighted composition operator;
D O I
10.4134/CKMS.2007.22.3.373
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we characterize the boundedness and compactness of weighted composition operators psi C(phi)f = psi(f o phi) acting between Bergman and Bloch spaces of holomorphic functions on the open unit disk D.
引用
收藏
页码:373 / 382
页数:10
相关论文
共 17 条
[1]  
Attele K. R. M., 1992, TOKYO J MATH, V15, P185
[2]   ZERO MULTIPLIERS OF BERGMAN SPACES [J].
AXLER, S .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1985, 28 (02) :237-242
[3]  
Contreras MD, 2004, J OPERAT THEOR, V52, P173
[4]   Weighted composition operators on Hardy spaces [J].
Contreras, MD ;
Hernández-Díaz, AG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 263 (01) :224-233
[5]  
Cowen CC., 1995, COMPOSITION OPERATOR, DOI DOI 10.4028/WWW.SCIENTIFIC.NET/SSP.47-48.223
[6]   Weighted composition operators on the Bergman space [J].
Cuckovic, Z ;
Zhao, RH .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2004, 70 :499-511
[7]   ISOMETRIES OF HP [J].
FORELLI, F .
CANADIAN JOURNAL OF MATHEMATICS, 1964, 16 (04) :721-&
[8]  
Hedenmalm H., 2000, THEORY BERGMAN SPACE
[9]  
Hoffman K., 1988, BANACH SPACES ANAL F
[10]   COMPACT OPERATORS OF THE FORM UC-PHI [J].
KAMOWITZ, H .
PACIFIC JOURNAL OF MATHEMATICS, 1979, 80 (01) :205-211