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《Journal of Daxian Teachers College》 1994-02
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On Unitary Equivalence of Multiplication Operators on Bergman Space

Ding Xuanhao(Daxian Teachers College)  
It is shown in this paper that for ψ1,ψ2 ψn. and f in H∞ (D), if the inner function part of (f-f(α) ) is a finite Blaschke product for some a∈D, then the multiplication operator Mf on Bergman space L:2a(D) is unitarily equivalent to if and only if ψ1 =ψ2 = ... =ψn = f=const, where n2.
【CateGory Index】: O177
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Chinese Journal Full-text Database 3 Hits
1 WANG Zhijie XU Xianmin XU Anjian (Department of Mathematics,Fudan University,Shanghai 200433;Department of Mathematics, Jiaxing University,Jiaxing 314001;Institute of Applied Mathematics, Chongqing University of Post and Telecom,Chongqing 400065);REDUCING SUBSPACES OF THE WEIGHTED BERGMAN SPACE[J];Journal of Systems Science and Mathematical Sciences;2010-05
2 XU Anjian~* YAN Congquan~(**) *Department of Mathematics,Zhejiang University,Hangzhou 310027,China; College of Mathematics and Physics,Chongqing University of Post and Telecommunication,Chongqing 400065,China. **Department of Mathematics,Jiaxing University,Jiaxing 314001,Zhejiang, China.;Reducing Subspace of Analytic Toeplitz Operator on Weighted Bergman Space[J];Chinese Annals of Mathematics;2009-05
3 XU An-jian1, ZOU Yang2 (1. School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065; 2. Department of Mathematics, Chongqing Education College, Chongqing 400067, China);(n,1)-Dilation of a class of weighted Bergman Shift[J];Journal of Chongqing College of Education;2009-03
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