共查询到10条相似文献,搜索用时 812 毫秒
1.
The article not only presents the boundedness and compactness of the weighted composition operator from α-Bloch spaces(or little α-Bloch spaces) to H^∞, but also gives some estimates for the norm of the weighted composition operator. 相似文献
2.
In this paper we characterize the boundedness and compactness of weighted composition operators of H∞ into α-Bloch spaces on the unit ball in C^n. 相似文献
3.
Jian Ren LONG Peng Cheng WU School of Mathematics Computer Science Guizhou Normal University Guizhou P.R.China 《数学研究与评论》2011,(6)
We study the boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from Q_k(p,q)space to weighted α-Bloch space and little weighted α-Bloch space.Some necessary and sufficient conditions for the boundedness and compactness of these operators are given. 相似文献
4.
Suppose u ∈ H(D) and φ is an analytic map of the unit disk D into itself. Definethe weighted composition operator uCφ : uCφ(f) = uf o φ, for all f ∈ H(D). In this paper,we get necessary and sufficient conditions for the bounded and compact weighted compositionoperators from the weighted Bergman spaces Apα to A∞(ψ) (A∞0(ψ)) spaces. 相似文献
5.
COMPOSITION OPERATORS ON BERGMAN SPACES*** 总被引:1,自引:0,他引:1
The authors obtain function theoretic characterizations of the compactness on the Standard weighted Bergman spaces of the two operators formed by multiplying a composition operator with the adjoint of another composition operator. 相似文献
6.
This paper studies the collective compactness of composition operator se-quences between the Bergman and Hardy spaces. Some sufficient and necessary conditionsinvolving the generalized Nevanlinna counting functions for composition operator sequencesto be collectively compact between weighted Bergman spaces are given. 相似文献
7.
He Li & Guangfu Cao 《数学研究通讯:英文版》2016,32(4):303-318
We characterize the boundedness and compactness of weighted composition operators among some Fock-Sobolev spaces. We also estimate the norm and essential norm of these operators. Furthermore, we discuss the duality spaces of FockSobolev spaces F_s~(p,m) when 0 p ∞. 相似文献
8.
ZHANG Xuejun~ & XIAO Jianbin~ . College of Mathematics Computer Science Hunan Normal University Changsha China 《中国科学A辑(英文版)》2005,(10)
In this paper,necessary and sufficient conditions are given for the weighted composition operator T_(ψ,ψ) to be bounded or compact from the space β_μto β_ν(or β_(μ,0) to β_(ν,0) ) on the unit ball of C~n.At the same time,a series of corollaries are also obtained. 相似文献
9.
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
10.
单位球上Hardy空间之间的加权复合算子 总被引:2,自引:0,他引:2
We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the operator from H1 to H1 is compact if and only if it is weakly compact. Meanwhile, we get the analogue on the Bergman spaces. 相似文献