共查询到18条相似文献,搜索用时 46 毫秒
1.
2.
3.
单位球上Bergman空间上的紧算子 总被引:3,自引:0,他引:3
当S满足一些可积条件时,我们证明了Lap(B)(p>1)上的有界算子S是紧的当且仅当S的Berezin变换在单位球B的边界趋近于零. 相似文献
4.
5.
加权Bergman空间上Schatten类Toeplitz算子 总被引:1,自引:0,他引:1
刘永民 《数学年刊A辑(中文版)》1999,(1)
设(D)是(D)中解析函数的全体,它是L(D)的闭子空间,对某类次调和函数:D→R,讨论了A;(D)上具有正测度符号。的Toenlitz算子,给出了类的几个充要条件 相似文献
6.
本文探讨加权Bergman空间Ap(φ)上Toeplitz算子,刻画了L∞(D)的使得符号在其中的Toeplitz算子的半换位子是紧算子的最大的自伴子代数Q,并计算了符号在Q中的Toeplitz算子的本质谱和Fredholm指标. 相似文献
7.
本文研究加权Bergman空间A(p,α)(B)(p>1)上Toeplitz与Hankel算子的紧性.证明了符号属于L∞(B)的Toeplitz与Hankel算子的紧性与作用空间Ap,α(B)无关 相似文献
8.
9.
西方给出了C^n中单位球上的带权的Bergman空间上具一般符号的Toeplitz算子和Hankel算子为紧的充要条件。 相似文献
10.
对于D上的Carleson测度μ而言,本文研究在加权Bergman空间Aα~2(D)上具有符号μ的Toeplitz算子Tμ的一些特殊的性质.近几年,在加权Bergman空间Aα~2(D)上的Toeplitz算子的有界性和紧性已经被广泛研究.为了了解Toeplitz算子Tμ的一些其他性质,本文需要估算出单位圆盘的加权Bergman空间上Toeplitz算子的本性范数的界限. 相似文献
11.
Let Ω be the unit ban or the polydisk of C^n and La^2 (Ω) the Bergman space. In this paper we prove that if S is a finite sum of finite products of Toeplitz operators on La^2 (Ω), then S is compact if and only if the Berezin transform S↑-(z) of S tends to zero as z→эΩ. 相似文献
12.
The authors give some new necessary conditions for the boundedness of Toeplitz products Tf^aTg^a on the weighted Bergman space Aa^2 of the unit ball, where f and g are analytic on the unit ball. Hankel products HfH9^+ on the weighted Bergman space of the unit ball are studied, and the results analogous to those Stroethoff and Zheng obtained in the setting of unit disk are proved. 相似文献
13.
14.
Xiangling Zhu 《Numerical Functional Analysis & Optimization》2013,34(7-8):881-893
The boundedness and compactness of the generalized weighted composition operator on weighted Bergman spaces are discussed. 相似文献
15.
于涛 《应用泛函分析学报》2006,8(4):369-376
探讨加权Bergman空间Ap()上的Carleson型测度和具有非负测度符号的Toeplitz算子,给出Carleson测度或消没Carleson测度的若干等价描述并用Carleson测度的方法刻画了Toeplitz算子是有界的或紧致的充要条件. 相似文献
16.
For an operator which is a finite sum of products of finitely many Toeplitz operators on the harmonic Bergman space over the half-space, we study the problem: Does the boundary vanishing property of the Berezin transform imply compactness? This is motivated by the Axler-Zheng theorem for analytic Bergman spaces, but the answer would not be yes in general, because the Berezin transform annihilates the commutator of any pair of Toeplitz operators. Nevertheless we show that the answer is yes for certain subclasses of operators. In order to do so, we first find a sufficient condition on general operators and use it to reduce the problem to whether the Berezin transform is one-to-one on related subclasses. 相似文献
17.
给定单位球上的正有限Borel测度μ,本文讨论了由μ所诱导的Toeplitz算子在加权Bergman空间A~2(φ)上的Schatten(及Schatten-Herz)类特征,并解决了文献中的公开问题. 相似文献
18.
In this paper,we study the compact operators on weighted Bergman spaces of the unit ball.Extending Miao and Zheng’result in 2004,we obtain the necessary and sufficient conditions for the operator to be compact on weighted Bergman spaces of the unit ball under some integrable conditions. 相似文献