Weighted Composition Operators fromα-Bloch Spaces to H~∞ 被引量：1

α-Bloch空间到H~∞的加权复合算子(英文)

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摘要 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.

作者唐笑敏

机构地区 Department of Mathematics Huzhou Teacher's College

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第3期370-376,共7页 数学季刊（英文版）

基金 the National Natural Science Foundation of China(10471039) the Natural Science Foundation of Zhejiang Province(Y606197) the Natural Science Foundation of Huzhou City(2005YZ02)

关键词 weighted composition operator α-Bloch space little α-Bloch space H^∞ α-Bloch空间 H^∞ 加权复合算子小α-Bloch空间

分类号 O174.56 [理学—基础数学]

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参考文献1

1王茂发,刘培德.Hardy空间之间的加权复合算子(英文)[J].应用数学,2003,16(1):130-135. 被引量：6

二级参考文献7

1J, H, Shapiro, Composition operators and classical Function theory[M]. New York: Springer-verlag,1993.
2C. C, Cowen and B, D. Maccluer,Composition operators on spaces of analytic functins[M], Boca Rotons:CRC Press, 1995.
3W. Smith,Composition operators between Bergman and Hardy spaces[J]. Trans. Amer. Matin. Soc. 1996,348:2331-2348.
4Luo Luo and Shi Jihuai,Composition operators between Hardy spaces on the unit ball[J]. Acta. Math. ,Sinica, 2001,44 : 209 - 216.
5W, Rudin, Function theory in the unit ball of C[M], New York. Marcel Dekker, 1990.
6B. D, Maccluer and J. H, Shapiro, Angular derivative and compact composition operators on the Hardy and Bergman spaces[J]. Can. J, Math. 1986,38:878-906.
7P, L, Duren,Theory of Hp spaces[M]. New York,, Academic Press, 1970.

共引文献5

1李颂孝.单位球上不同Hardy空间之间的加权复合算子[J].福建师范大学学报（自然科学版）,2005,21(2):22-24.
2王茂发,周少波.Hardy-Orlicz空间之间的加权复合算子[J].数学物理学报（A辑）,2005,25(4):509-515.
3唐笑敏.H~∞和Bergman空间之间的加权复合算子(英文)[J].数学杂志,2007,27(4):381-384. 被引量：1
4詹亮.p-Bloch空间上复合算子性质的一些讨论[J].成都纺织高等专科学校学报,2008,25(2):32-33.
5胡小浇,于涛.单位球上的H~∞(B_N)和加权Bergman空间之间的加权复合算子的范数(英文)[J].宝鸡文理学院学报（自然科学版）,2009,29(2):8-10.

同被引文献3

1XUHui-ming LIUTai-shun.Weighted Composition Operators between Hardy Spaces on the Unit Ball[J].Chinese Quarterly Journal of Mathematics,2004,19(2):111-119. 被引量：6
2乌兰哈斯.Mbius不变的Q_p空间:结果、技巧和问题(英文)[J].数学进展,2005,34(4):385-404. 被引量：10
3GUO Jian,LIU Yong-min.Composition Operators From B0 to QK and QK,0 Spaces[J].Chinese Quarterly Journal of Mathematics,2010,25(1):86-91. 被引量：1

引证文献1

1LIU Guang-rong.Weighted Differentiation Composition Operators from Mixed-norm Spaces to Bloch-type Spaces[J].Chinese Quarterly Journal of Mathematics,2015,30(2):236-243. 被引量：1

二级引证文献1

1秦春,侯晓阳.小Bloch型空间上的加权微分复合算子[J].温州大学学报（自然科学版）,2018,39(4):9-14. 被引量：3

1Min Zhu ZHANG,Huai Hui CHEN.Weighted Composition Operators of H~∞ intoα-Bloch Spaces on the Unit Ball[J].Acta Mathematica Sinica,English Series,2009,25(2):265-278. 被引量：2
2于燕燕,刘永民.Composition Operators from α-Bloch Spaces into Q_K Type Spaces[J].Journal of Mathematical Research and Exposition,2009,29(6):999-1010. 被引量：2
3GUO Ji-dong,LIU Pin,GAO Wen-hua,NUERDANBIEKE Baitakazi.Boundedness of Weighted Composition Operators on Bloch Type Spaces[J].Chinese Quarterly Journal of Mathematics,2008,23(3):356-359. 被引量：1
4LIU Jing Cheng ZHANG Xue Jun LI du Xiang.Weighted Composition Operators between Bergman-Type Spaces[J].Journal of Mathematical Research and Exposition,2009,29(5):848-856. 被引量：1
5LIU Yong Min,ZHANG Fang.Weighted Composition Operators from Aα^p to A^∞（φ）[J].Journal of Mathematical Research and Exposition,2008,28(3):535-540. 被引量：2
6Yongxin GAO,Sanjay KUMAR,Zehua ZHOU.Order Bounded Weighted Composition Operators Mapping into the Dirichlet Type Spaces[J].Chinese Annals of Mathematics,Series B,2016,37(4):585-594. 被引量：4
7XUHui-ming LIUTai-shun.Weighted Composition Operators between Hardy Spaces on the Unit Ball[J].Chinese Quarterly Journal of Mathematics,2004,19(2):111-119. 被引量：6
8Jian Ren LONG Peng Cheng WU.Weighted Composition Followed and Proceeded by Differentiation Operators from Q_k(p,q) Space to Weighted α-Bloch Space[J].Journal of Mathematical Research and Exposition,2011,31(6):1097-1107.
9Lian Kuo ZHAO,Sheng Zhao HOU.A Note on Weighted Composition Operators on the Weighted Bergman Space[J].Acta Mathematica Sinica,English Series,2015,31(6):947-952.
10张敏珠.BOUNDEDNESS FROM BELOW OF MULTIPLICATION OPERATORS BETWEEN α-BLOCH SPACES ON THE UNIT BALL[J].Acta Mathematica Scientia,2010,30(5):1619-1630.

Chinese Quarterly Journal of Mathematics

2007年第3期

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