从N_α到Bloch-型空间的复合算子被引量：5

Composition Operator from N_α to B~β

下载PDF

导出

摘要研究了从Nα到Bβ之间的复合算子的有界性与紧性. In this paper, we mainly research the boundedness and compactness of the composition operator Cφ = fo φ from Na to B^β

作者谭海鸥刘光荣

机构地区五邑大学数理系

出处《五邑大学学报（自然科学版）》 CAS 2008年第2期1-4,共4页 Journal of Wuyi University(Natural Science Edition)

关键词复合算子有界性紧性 Composition operator boundedness compactness

参考文献5

1XIAO J. Composition operator: Nα to the Bloch to Qβ [J]. Studia Mathematica, 2000, 139(3): 245-260.
2JARCHOW H. Locally convex spaces[M]. Stuttgart: B G Teubner, 1981: 24-25.
3ZHU K. Operator theory in functions spaces[M]. New York: Springer, 1990.
4STROETHOFF K. Nevanlinna-type characterization for the Bloch space and related spaces[J]. Proc Edinburgh Math Soc, 1990, 33: 123-142.
5TIJINA M. Compact composition operators on some MObius invariant Banach spaces[D]. Michigan: Michigan State Univ, 1996: 134-135.

1ZHANG Xuejun~1 & XIAO Jianbin~2 1. College of Mathematics and Computer Science,Hunan Normal University,Changsha 410006,China(email:xuejunttt@263. net),2. The School of Science,Hangzhou Dianzi University,Hangzhou 310037,China.Weighted composition operators between μ-Bloch spaces on the unit ball[J].Science China Mathematics,2005,48(10):1349-1368. 被引量：49
2王漱石,胡璋剑.Bloch型空间上的广义Cesàro算子[J].数学年刊（A辑）,2005,26(5):613-624. 被引量：6
3Xiao J. Composition operator: Nα to the Bloch to Qβ [ J ]. Studia Mathematica,2000,139 ( 3 ).
4Jarchow H. Locally convex spaces[ M ]. Stuttgart B. G. Teubner, 1981.
5Tijina M. Compact composition operators on some Mobius invariant Banach spaces [ D ]. Ph. D. Thsis, Michigan State Univ. 1996.
6SONGXIAO L,STEVO S. Products of Integral - type Operator and Composition Operators from H** and Bloch spaces to Zygmund spaces [J]. J. Math. Anal. Appl. ,2008,345:40 -52.
7SONGXIAO L,STE~O S. Weighted composition operators from Zygmund spaces to Bloch spaces [J]. J. Math. Anal. Appl. ,2008,206:825 - 831.
8XIAO J. Holomorphic Q, spaces [ M ]. New Yotk: Springer ,2001.
9乌兰哈斯.从Bloeh空间到Qk空间的紧复合算子.数学物理学报,2005,:1415-1424.
10SONGXIAO L, STSVO S. Products of integral - type operator and composition operators between bloch - type spaces [ J ]. J. Math. Anal. Appl. ,2009,349:596 - 610.

五邑大学学报（自然科学版）

2008年第2期

内容加载中请稍等...