| 数学与计算机科学 |
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| 多圆柱上加权Bergman空间到Bloch型空间的加权Cesàro算子 |
| 赵艳辉1,2, 廖春艳1,2, 邓春红1, 吴修云1,2 |
1.湖南科技学院 理学院, 湖南 永州 425199
2.湖南科技学院 理学院 计算数学研究所, 湖南 永州 425199 |
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| Extended Cesàro operators from weighted Bergman space to Bloch-type spaces on the unit polydisk |
| DENG Chunhong1,2, ZHAO Yanhui1,2, LIAO Chunyan1, WU Xiuyun1,2 |
1.College of Science, Hunan University of Science and Engineering, Yongzhou 425199,Hunan Province,China
2.Institute of Computational Mathematics, School of Science, Hunan University of Science and Engineering, Yongzhou 425199,Hunan Province,China |
引用本文:
赵艳辉, 廖春艳, 邓春红, 吴修云. 多圆柱上加权Bergman空间到Bloch型空间的加权Cesàro算子[J]. 浙江大学学报（理学版）, 2020, 47(2): 151-154.
DENG Chunhong, ZHAO Yanhui, LIAO Chunyan, WU Xiuyun. Extended Cesàro operators from weighted Bergman space to Bloch-type spaces on the unit polydisk. Journal of Zhejiang University (Science Edition), 2020, 47(2): 151-154.
链接本文:
https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2020.02.003
或
https://www.zjujournals.com/sci/CN/Y2020/V47/I2/151
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1 HUZ J. Extended Cesàro operators on mixed norm spaces[J]. Proceedings of the American Mathematical Society, 2003, 131(7): 2171-2179.
2 赵艳辉. 单位球上μ-Bloch型空间之间的加权Cesàro算子[J]. 数学学报(中文版), 2008, 51(3): 601-606.ZHAO Y H. Extended Cesàro operator from μ-Bloch space on the unit ball[J]. Acta Mathematics Sinica(Chinese Series), 2008, 51(3): 601-606.
3 赵艳辉. 单位球上μ-Bloch空间到Zygmund型空间的加权Cesàro算子[J]. 浙江大学学报（理学版）, 2016, 43(4): 389-393,404.DOI：10.3785/j.issn.1008-9497.2016.04.002 ZHAOY H. Extended Cesàro operators from μ-Bloch spaces to Zygmund type spaces in the unit ball[J]. Journal of Zhejiang Universities(Science Edition), 2016, 43(4): 389-393,404.DOI：10.3785/j.issn.1008-9497.2016.04.002
4 赵艳辉. 单位球上Dirichlet型空间Dq到Zygmund型空间Zp的加权Cesàro算子[J]. 高校应用数学学报(A辑）, 2012, 27(1): 112-120. ZHAOY H. Extended Cesàro operators from Dirichlet type space Dq to Zygmund type spaces Zp in the unit ball[J]. Applied Mathematics A Journal of Chinese Universities(Ser A), 2012, 27(1): 112-120.
5 张学军. Cn中Dirichlet型空间和Bloch型空间上的加权Cesàro算子[J]. 数学年刊(A辑), 2005, 26(1): 139-150. ZHANGX J. Weighted Cesàro operators on Dirichlet type spaces and Bloch type spaces of Cn[J]. Chinese Annals of Mathematics（Ser A）, 2005, 26(1): 139-150.
6 张学军, 肖建斌, 李敏, 等. 单位球上加权Bergman空间的复合型算子[J]. 中国科学（数学）, 2015, 45(2): 141-150. ZHANGX J, XIAOJ B, LIM, et al. The composition type operator on the weighted Bergman space in the unit ball[J]. Scientia Sinica Mathematica, 2015, 45(2): 141-150.
7 高进寿,贾厚玉. Bergman空间上复合算子的紧性刻划[J]. 高校应用数学学报（A辑）, 2003, 18(4): 446-454. GAOJ S, JIAH Y. Compact characterizations of composition operators on Bergman space[J]. Applied Mathematics A Journal of Chinese Universities(Ser A), 2003, 18(4): 446-454.
8 李俊锋,刘竟成,张学军. Bergman型空间的Cesàro算子[J]. 数学研究, 2009, 42(2): 209-217. LIJ F, LIUJ C, ZHANGX J. Cesàro operator between Bergman type spaces in Cn[J]. Journal of Mathematics Study, 2009, 42(2): 209-217.
9 吴玮玮,徐辉明. 多圆柱上从加权Bergman空间到Bloch型空间的加权复合算子[J]. 浙江师范大学学报 (自然科学版), 2014, 37(2): 151-157. WUW W, XUH M. Weighted composition operators from weighted Bergman space to Bloch-type spaces on the polydisc[J]. Journal of Zhejiang Normal University(Natural Sciences), 2014, 37(2): 151-157.
10 王雄亮.多圆柱上Bergman空间到Bloch空间的复合算子[J].数学研究, 2010, 43(2): 141-150. WANGX L. Composition operators from Bergman space to Bloch-type spaces on the polydisk[J]. Journal of Mathematics Study, 2010, 43(2): 141-150.
11 胡蓉，胡朋彦.单位多圆柱上加权Bergman 空间上的复合算子[J].数学季刊,2014,29(1):9-13. HUR, HUP Y. Composition operators on the weighted Bergman space in the unit polydisk[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(1): 9-13.
12 ZHUK H. Spaces of Holomorphic Functions in the Unit Ball[M]. New York: Springer-verlag, 2005.
13 RUDINW. Function Theory in the Unit Ball of Cn[M]. New York: Springer-verlag,1980. |
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