The Root Operator on Invariant Subspaces of the Weighted Bergman Space

被引：0
作者：
Xiao Yang ZHOU Xiu Ying SHI Yu Feng LU School of Mathematical Science Dalian University of Technology Liaoning P R China School of Continuing Education Chifeng University Inner Mongolia P R China [1 ,2 ,1 ,1 ,116024 ,2 ,24000 ]
机构：
来源：
数学研究与评论 | 2010年 / 30卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O177.3 [线性空间理论（向量空间）];
学科分类号：
070104 ;
摘要：
In this paper, for an invariant subspace I of the weighted Bergman space, the weighted root operator is defined. We study the weighted root operator and obtain its fundamental properties when the invariant subspace I has finite index. Furthermore, we give some examples of the root operator and estimate ranks of the operators.
引用
收藏
页码：54 / 66
页数：13
相关论文
共 50 条
[41]   On Invariant Subspaces for the Shift Operator [J].
Liu, Junfeng .
SYMMETRY-BASEL, 2019, 11 (06)
[42]   ON OPERATOR ALGEBRAS AND INVARIANT SUBSPACES [J].
DAVIS, C ;
RADJAVI, H ;
ROSENTHA.P .
CANADIAN JOURNAL OF MATHEMATICS, 1969, 21 (05) :1178-&
[43]   INVARIANT SUBSPACES OF A NORMAL OPERATOR [J].
SCROGGS, JE .
DUKE MATHEMATICAL JOURNAL, 1959, 26 (01) :95-111
[44]   INVARIANT SUBSPACES WITH FINITE CODIMENSION IN BERGMAN SPACES [J].
ALEMAN, A .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 330 (02) :531-544
[45]   INVARIANT SUBSPACES IN BERGMAN SPACES AND THE BIHARMONIC EQUATION [J].
DUREN, P ;
KHAVINSON, D ;
SHAPIRO, HS ;
SUNDBERG, C .
MICHIGAN MATHEMATICAL JOURNAL, 1994, 41 (02) :247-259
[46]   INVARIANT SUBSPACES OF BERGMAN SPACES ON SLIT DOMAINS [J].
ROSS, WT .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1994, 26 :472-482
[47]   Reproducing kernels and invariant subspaces of the Bergman shift [J].
Chailos, G .
JOURNAL OF OPERATOR THEORY, 2004, 51 (01) :181-200
[48]   Beurling type invariant subspaces of the Bergman spaces [J].
Hedenmalm, H ;
Korenblum, B ;
Zhu, KH .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1996, 53 :601-614
[49]   FINITE CODIMENSIONAL INVARIANT SUBSPACES OF BERGMAN SPACES [J].
AXLER, S ;
BOURDON, P .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 306 (02) :805-817
[50]   ON INVARIANT SUBSPACES OF SEVERAL VARIABLE BERGMAN SPACES [J].
PUTINAR, M .
PACIFIC JOURNAL OF MATHEMATICS, 1991, 147 (02) :355-364
12345