双曲Dirichlet型空间与复合算子
Hyperbolic Dirichlet-type Space and Composition Operator
摘要
研究了Bloch型空间到Dirichlet型空间的复合算子,并且刻划了双曲Dirichlet型空间。
Composition operator from Bloch-type space to Dirichlet-type space is studied and hyperbolic Dirichlet-type space is characterized.
出处
《嘉应大学学报》
2003年第6期8-11,共4页
Journal of Jiaying University
基金
浙江省自然科学基金(102025)
参考文献10
-
1[1]Aulaskari R. , Lappan P. , Xiao J., and Zhap R. , on α-Bolch space and multipliers of Dirichlet spaces[J]. J. Math Anal and Appl, 1997, (209): 103-121.
-
2[2]Aulaskari R., Stegenga D. A., and Xiao J. Some subclasses of BMOA and their characterization in terms of Carleson measures[J]. Rocky Mountain J. Math., 1996, (26):485-506.
-
3[3]Lou Z J. , Bloch-type spaces of analytic functions[D]. 1997.
-
4[4]Smith W. , Zhao R. , Composition operators mapping into the Qp spaces[J]. Analysis, 1997, (17):239-262.
-
5[5]Smith W. , Composition operators between some classical spaces of analytic function[C]. Proceedings of the International Conference on Function Theory, Seoul, Korea(2001),32-46.
-
6[6]Yamashita S. , Gap series and α-Bloch functions[J]. Yokohama Math J, 1980, (28):31-36.
-
7[7]Xiao J, Holomorphic Q Classes[M]. Berlin-Heidelberg. New York: Spriger-Verlag, 2001.
-
8[8]Bourdon P. S. , Cima J. A. , and Matheson A L. , Compact composition operators on BMOA[J]. Trans Amer Math Soc, 1999,(351):2183-2196.
-
9[9]Cowen C. C. , Composition operators on Hilbert space of analytic functions[M]. Proc Symposia in Pure Math, 1990, 51(part Ⅰ):131-146.
-
10[10]Zhu Kehe, Operator theory in function space[M]. Marcel Dekker, New York, 1990.
-
1王学斌.Dirichlet型空间的乘子[J].湖南冶金职业技术学院学报,2007,7(3):134-136.
-
2王茂发,刘培德.Dirichlet型空间上的紧加权复合算子的谱[J].数学物理学报(A辑),2010,30(4):873-883. 被引量:1
-
3张学军.C^n中单位球上一些全纯函数空间的刻画[J].数学学报(中文版),2004,47(5):993-1000. 被引量:2
-
4刘岩,应秀玲.Dirichlet型空间之间的乘法乘子[J].河南大学学报(自然科学版),2005,35(3):12-14.