Toeplitz operators with BMO symbols on the weighted Bergman space of the unit ball
查看参考文献15篇
|
文摘
|
In this paper we prove that the boundedness and compactness of Toeplitz operator with a BMOα1 symbol on the weighted Bergman space A~α_2(B_n) of the unit ball is completely determined by the behavior of its Berezin transform, where α > -1 and n ≥ 1. |
|
来源
|
Acta Mathematica Sinica. English Series
,2011,27(11):2129-2142 【核心库】
|
|
DOI
|
10.1007/s10114-011-0038-3
|
|
关键词
|
Berezin transform
;
BMO
;
Toeplitz operator
|
|
地址
|
1.
School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024
2.
School of Science, Dalian Jiaotong University, Dalian, 116028
|
|
语种
|
英文 |
|
文献类型
|
研究性论文 |
|
ISSN
|
1439-8516 |
|
学科
|
数学 |
|
基金
|
国家自然科学基金
|
|
文献收藏号
|
CSCD:4321721
|
参考文献 共
15
共1页
|
|
1.
Zhu K. Positive Toeplitz operators on weighted Bergman spaces of bounded symmetric domains.
J. Operator Theory,1988,20(2):329-357
|
被引
12
次
|
|
|
|
|
2.
Békollé D. BMO in the Bergman metric on bounded symmetric domains.
Journal of Functional Analysis,1990,93(2):310-350
|
被引
2
次
|
|
|
|
|
3.
Englis M. Compact Toeplitz operators via the Berezin transform on bounded symmetric domains.
Integral Equations and Operator Theory,1999,33(4):426-455
|
被引
9
次
|
|
|
|
|
4.
Zhu K.
Spaces of Holomorphic Functions in the Unit Ball,2004
|
被引
8
次
|
|
|
|
|
5.
Axler S. Compact Operators via the Berezin Transform.
Indiana University Mathematics Journal,1998,47(2):387-400
|
被引
32
次
|
|
|
|
|
6.
Zorboska N. Toeplitz operators with BMO symbols and the Berezin transform.
International Journal of Mathematics and Mathematical Sciences,2003,2003(46):2929-2945
|
被引
5
次
|
|
|
|
|
7.
Zhu K. VMO, ESV and Toeplitz operators on the Bergman space.
Trans. Amer. Math. Soc.,1987,302:617-646
|
被引
5
次
|
|
|
|
|
8.
Berger C A. Function theory on Cartan domains and the Berezin-Toeplitz symbol calculus.
Amer. J. Math.,1988,110:921-953
|
被引
11
次
|
|
|
|
|
9.
Li H. BMO on strongly pseudoconvex domains: Hankel operators, duality and ??-estimates.
Trans. Amer. Math. Soc.,1994,346:661-691
|
被引
2
次
|
|
|
|
|
10.
Zhu K. BMO and Hankel operators on Bergman spaces.
Pacific J. Math.,1992,155(2):377-395
|
被引
2
次
|
|
|
|
|
11.
Luecking D H. Trace ideal criteria for Toeplitz operators.
Journal of Functional Analysis,1987,73(2):345-368
|
被引
7
次
|
|
|
|
|
12.
Yu T. Commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet space.
Acta Mathematica Sinica, English Series,2009,25(2):245-252
|
被引
11
次
|
|
|
|
|
13.
Brown A. Algebraic properties of Toeplitz operators.
J. Reine Angew. Math.,1964,213:89-102
|
被引
42
次
|
|
|
|
|
14.
Rudin W.
Function Theory in the Unit Ball of Cn.,1980
|
被引
2
次
|
|
|
|
|
15.
Stroethoff K. Bounded Toeplitz products on Bergman spaces of the unit ball.
Journal of Mathematical Analysis and Applications,2007,325(1):114-129
|
被引
9
次
|
|
|
|
|
了解气象卫星更多信息，请访问