Differences of Weighted Composition Operators from Mixed-Norm Spaces to Weighted-Type Spaces
Differences of Weighted Composition Operators from Mixed-Norm Spaces to Weighted-Type Spaces
摘要
In this paper, we study the boundedness and estimate the essential norm of the differences of weighted composition operators from mixed-norm spaces to weighted-type spaces on the unit ball of CN.
In this paper, we study the boundedness and estimate the essential norm of the differences of weighted composition operators from mixed-norm spaces to weighted-type spaces on the unit ball of CN.
基金
Supported by the National Natural Science Foundation of China (Grant Nos. 10971153
10671141)
参考文献19
-
1K. D. BIERSTEDT, J. BONET, J. TASKINEN. Associated weights and spaces of holomorphic functions. Studia Math., 1998, 127(2): 137-168.
-
2J. BONET, P. DOMANSKI, M. LINDSTROM, et al. Composition operators between weighted Banach spaces of analytic functions. J. Austral. Math. Soc. Ser. A, 1998, 64(1): 101-118.
-
3J. BONET, P. DOMANSKI, M. LINDSTROM. Essential norm and weak compactness of composition oper- ators on weighted Banach spaces of analytic functions. Canad. Math. Bull., 1999, 42(2): 139-148.
-
4J. BONET, M. LINDSTROM, E. WOLF. Differences of composition operators between weighted Banach spaces ofholomorphic functions. J. Aust. Math. Soc., 2008, 84(1): 9-20.
-
5K. D. BIERSTEDT, W. H. SUMMERS. Biduals of weighted Banach spaces of analytic functions. J. Austral. Math. Soc. Ser. A, 1993, 54(1): 70-79.
-
6C. C. COWEN, B. D. MACCLUER. Composition Operators on Spaces of Analytic Functions. CRC Press, Boca Raton, FL, 1995.
-
7Ji'neng DAI, Caiheng OUYANG. Differences of weighted composition operators on Ha^∞ (BN). J. Inequal. Appl., 2009, 1-19.
-
8Zhijie JIANG, S. STEVIC. Compact differences of weighted composition operators from weighted Bergman spaces to weighted-type spaces. Appl. Math. Comput., 2010, 217(7): 3522-3530.
-
9A. MONTES-RODRIGUEZ. Weighted composition operators on weighted Banach spaces of analytic func- tions. J. London Math. Soc. (2), 2000, 61(3): 872-884.
-
10S. OHNO, K. STROETHOFF, Ruhan ZHAO. Weighted composition operators between Bloch-type spaces. Rocky Mountain J. Math., 2003, 33(1): 191-215.
-
1刘煦.2维Boussinesq方程的伸缩不变性质[J].长春大学学报,2013,23(4):430-432.
-
2Xue-jun Zhang,Yu-ming Chu.Compact Ceshro Operators from Spaces H(p,q,u) to H(p, q, v)[J].Acta Mathematicae Applicatae Sinica,2006,22(3):437-442. 被引量:2
-
3向松柏,肖建斌,薛素霞.有界对称域上混合范数空间A^(p,q,α)的一些性质[J].杭州电子科技大学学报(自然科学版),2013,33(1):91-93.
-
4肖建斌.混合范数空间函数的零点[J].杭州电子工业学院学报,2003,23(6):9-11.
-
5GUO 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
-
6LIU 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
-
7LIU 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
-
8Yongxin 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
-
9钟巧红,张国权.多圆盘上混合范数空间上的一类积分算子[J].华南农业大学学报,2007,28(1):114-116.
-
10刘官厅,杨丽英.混合范数空间与面积积分[J].内蒙古师范大学学报(自然科学汉文版),2000,29(4):246-251.