共查询到20条相似文献,搜索用时 0 毫秒
1.
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
2.
加权Bergman空间上的紧算子 总被引:2,自引:0,他引:2
本文讨论了加权Bergman空间上的Toeplitz算子,证明了Toplitz算子的有限乘积的有限和是紧的当且仅当它的Berezin变换在边界上趋向于零. 相似文献
3.
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
4.
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
5.
6.
7.
8.
本文利用Carleson测度刻画了Bergman空间到Besov空间的广义Cesaro算子T_g的有界性和紧性,同时得到了(p,q)-φCarleson测度的一些性质. 相似文献
9.
In this paper, we study radial operators in Toeplitz algebra on the weighted Bergman spaces over the polydisk by the(m, λ)-Berezin transform and find that a radial operator can be approximated in norm by Toeplitz operators without any conditions. We prove that the compactness of a radial operator is equivalent to the property of vanishing of its(0, λ)-Berezin transform on the boundary. In addition, we show that an operator S is radial if and only if its(m, λ)-Berezin transform is a separately radial function. 相似文献
10.
孙志玲 《数学物理学报(A辑)》2020,(2):304-314
该文给出了多圆盘Bergman空间上两个带有某种符号的Toeplitz算子的乘积等于另一个Toeplitz算子的充分必要条件,并且给出了乘积算子所带符号的公式.接下来,相应的研究了它的交换性.这些研究结果都是根据符号函数的Mellin变换. 相似文献
11.
首先证明广义Bergman空间A_(N,α)~p,(α-n-1,p0)上的复合算子C_φ的有界性和紧性是不依赖于p的,进而证明了若对某个q0和-n-1βα,C_φ在A_(N,β)~α上有界,则C_φ在A_(N,α)~p,α(α-n-1,p0)上是紧的当且仅当lim|z|→1-1-(|z|~2/1-|φ(1)|~2)=0. 相似文献
12.
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
13.
在单位多圆盘的Bergman空间上,本文分别刻画了以有界可测函数和有界多重调和函数为符号的本质交换对偶Toeplitz算子. 相似文献
14.
15.
多圆盘上的交换对偶Toeplitz算子 总被引:1,自引:0,他引:1
We completely characterize commutativity of Sρ and Sψ on L2α (Dn)⊥ for bounded pluriharmonic symbols ρ and ψ on Dn, and prove that SρSψ=Sψρ if and only if ρ is analytic or ψ is analytic. 相似文献
16.
17.
18.
考虑了全纯Besov空间B_p上的Toeplitz算子T_μ~α,这里μ是单位球上的一个复Borel测度.给出了T_μ~α在B_p上有界的一些充要条件. 相似文献
19.
We consider the question for what kind of square integrable holomorphic functions f,g on the unit ball the densely defined products TfTg-are invertible and Fredholm on the weighted Bergman space of the unit ball.We furthermore obtain necessary and sufficient conditions for bounded Haplitz products HfTg-,where f∈L2(Bn,dvα) and g is a square integrable holomorphic function. 相似文献
20.
对多圆盘上的平方可积函数f和g,研究了Bergman空间上稠密定义的Hankel乘积H_fH_g~*的有界性和紧性.给出了这些算子有界和紧的一些必要条件和充分条件.当f是解析函数时,对混合Haplitz乘积H_gT_(f~-)和T_fH_g~*得到了相似的结果. 相似文献