Dirichlet空间上的循环复合算子

Abstract

Abstract:

In this paper, we obtain an iff condition for cyclic operator algebras on Dirichlet space; in addition, we discuss the hypercyclic composition operators.

Key words: Dirichlet space, Composition operator, Cyclic , operator, Cyclic algebra

Cite this article

WANG Xiao-Hong, CAO An-Fu. Cyclic Composition Operators on Dirichlet Space[J].Acta mathematica scientia,Series A, 2003, 23(1): 91-95.

share this article

0
/ / Recommend

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: http://121.43.60.238/sxwlxbA/EN/

http://121.43.60.238/sxwlxbA/EN/Y2003/V23/I1/91

Trendmd

References

［1］Jororié M, MacCluer B. Composition Operators on Dirichlet spaces. preprint
［2］ MacCluer B D, Sharpiro J H. Angular derivatives and compact composition

operators on the Hardy and Bergman space. Can J Math, 1986,4: 876-906
［3］ Cima J A, Wogen W R. On algebras generated by composition operators. Canad J Math, 1974,26: 1234-1241
［4］ Cao G F, Sun S H. Composition operators on \$H\+2(B\-n)\$. Acta Math Sinica (N.S.), 1997,〗2: 133-140
［5］ Shapiro J H. Composition Operators and Classical Function Theory. New York: SpringerVerlag, 1993
［6］ Chen X M, Cao G F, Guo K Y. Inner functions and cyclic composition operat

ors on \$H\+2(B\-n)\$. J Math Analysis and Applications, 2000, 250: 660-669

Related Articles 15

[1]	Li Wenxia, Qi Qiulan. Complex Approximation Properties of the Baskakov-Kantorovich Operators in Compact Disks [J]. Acta mathematica scientia,Series A, 2018, 38(4): 641-648.
[2]	Wang Jianjun. On the Invariance of Maximal Distributional Chaos of Weighted Shift Operators on ∑(X) [J]. Acta mathematica scientia,Series A, 2018, 38(3): 446-453.
[3]	Tan Shenyang, Huang Tiren, Liu Dajin. Estimates for Eigenvalues of the Operator in Divergence Form on H-Type Group [J]. Acta mathematica scientia,Series A, 2018, 38(3): 467-475.
[4]	Li Yudan, Wu Deyu, Alatancang. The Essential Spectra of Infinite Dimensional Hamilton Operator [J]. Acta mathematica scientia,Series A, 2018, 38(3): 476-483.
[5]	Zhao Yingchun, Sun Jiong. The Deficiency Index of a Class of Sturm-Liouville Operators with an Infinite Number of Interior Discontinuous Points [J]. Acta mathematica scientia,Series A, 2018, 38(3): 484-495.
[6]	Zhang Shengui. Infinitely Many Solutions for a Bi-Nonlocal Problem Involving p(x)-Laplacian-Like Operator [J]. Acta mathematica scientia,Series A, 2018, 38(3): 514-526.
[7]	Luo Liping, Luo Zhenguo, Deng Yihua. Effect of Impulsive Perturbations on Oscillation of Nonlinear Delay Hyperbolic Distributed Parameter Systems [J]. Acta mathematica scientia,Series A, 2018, 38(2): 313-321.
[8]	Di Yanmei, Li Chunxia, Shen Shoufeng, Ma Wenxiu. Multicomponent Perturbed AKNS Soliton Hierarchy Associated with the Lie Algebra sl(m + 1, R) [J]. Acta mathematica scientia,Series A, 2018, 38(1): 24-33.
[9]	Zhang Li, Chu Xiujiao. Difference of Weighted Composition Operators Form F(p,q,s) Space to H_μ^∞ Space [J]. Acta mathematica scientia,Series A, 2017, 37(6): 1012-1028.
[10]	Wang Shengjun, Han Yazhou. Generalized Picone's Identity and Its Applications for Heisenberg-Greiner Operators [J]. Acta mathematica scientia,Series A, 2017, 37(5): 895-901.
[11]	Wang Wenhua, Chen Zhengli, Li Wei. Two Representations of a Super Operator [J]. Acta mathematica scientia,Series A, 2017, 37(4): 607-614.
[12]	Xia Hongchuan, Liu Hao, Zhong Chunping. A New Roper-Suffridge Extension Operator on the Unit Ball in Hilbert Spaces [J]. Acta mathematica scientia,Series A, 2017, 37(4): 637-646.
[13]	Zou Limin, Wu Yanqiu. Hölder Inequality of Unitarily Invariant Norms for Matrices and Its Applications [J]. Acta mathematica scientia,Series A, 2017, 37(3): 450-456.
[14]	Zhao Yanhui, Zhang Xuejun. On an Integral-Type Operator from Dirichlet Spaces to Zygmund Type Spaces on the Unit Ball [J]. Acta mathematica scientia,Series A, 2017, 37(2): 217-227.
[15]	Wang Xuewu. Convergence and Stability of Ishikawa Type Iterative Sequences for the φ-Hemi Pseudocontractive Operator Pair [J]. Acta mathematica scientia,Series A, 2017, 37(2): 248-256.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 10

[1]	Zheng Zhaojuan. Automorphism Group, Central Extension and Derivations for a Lie Algebra over Quantum Torus[J]. Acta mathematica scientia,Series A, 2008, 28(6): 1206 -1217 .
[2]	Xie Shengli. Initial Value Problems for Second Order Nonlinear Impulsive Integro-differential Equations in Banach Spaces[J]. Acta mathematica scientia,Series A, 2007, 27(1): 138 -145 .
[3]	Yao Xiyan; Du Hongke. Product of two Orthogonal Projections in a Hilbert Space H[J]. Acta mathematica scientia,Series A, 2007, 27(4): 696 -701 .
[4]	Chen Juan; Zhang Luming. Numerical Approximation of Solution for the Initial-boundary Value Problem of the Klein-Gordon-Zakharov Equations[J]. Acta mathematica scientia,Series A, 2009, 29(2): 494 -504 .
[5]	WANG Kai. Existence of Periodic Solutions for a Type of High Order Neutral Functional Differential Equations[J]. Acta mathematica scientia,Series A, 2009, 29(3): 794 -799 .
[6]	CHEN Die, JIANG Meng-Hui, TAO Hong-Shan-. Exponential Stability of Cellular Neural Networks[J]. Acta mathematica scientia,Series A, 2005, 25(2): 264 -268 .
[7]	YANG Liu, CHENG Mo-Cheng. The Interaction of Shock Waves of Pressure Difference Equations in Gas Dynamics[J]. Acta mathematica scientia,Series A, 2005, 25(2): 277 -280 .
[8]	LIU Yong-Hui, SHU Chao, CHEN Guan-Liang. Generalized Inverses of Matrices on an Arbitrary Division Ring[J]. Acta mathematica scientia,Series A, 2005, 25(6): 770 -776 .
[9]	WEN Xian-Zhang, WANG Zhi-Cheng. Attractivity of Positive Periodic Solution of Multispecies Ecological Delay System[J]. Acta mathematica scientia,Series A, 2004, 4(6): 641 -653 .
[10]	LU Han-Fang, ZHENG Shen-Zhou. The Method of Green Function for a Holder Continuity of Elliptic Equations with Divergence[J]. Acta mathematica scientia,Series A, 2009, 29(5): 1160 -1166 .

Abstract
References
Related Articles
Metrics
Comments
Recommended

TOP

Cyclic Composition Operators on Dirichlet Space

PDF (PC)