正规权一般函数空间到Bloch型空间的复合算子

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CLC Number:

O174.56

Yuting Guo,Xuejun Zhang. Composition Operators from Normal Weight General Function Spaces to Bloch Type Spaces[J].Acta mathematica scientia,Series A, 2022, 42(5): 1306-1319.

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References 33

1	Zhao R H . On a general family of function spaces. Ann Acad Sci Fenn Math Diss, 1996, 105, 1- 56
2	Zhang X J , He C Z , Cao F F . The equivalent norms of F(p, q, s) space in $\mathbb{C}^n$. J Math Anal Appl, 2013, 401, 601- 610 doi: 10.1016/j.jmaa.2012.12.032
3	Jiang L J , He Y Z . Composition operators from $\beta^\alpha$ to $F(p, q, s).$. Acta Math Sci, 2003, 23B (2): 252- 260
4	Zhou Z H , Chen R Y . Weighted composition operator from $F(p, q, s)$ to Bloch type spaces on the unit ball. Int J Math, 2012, 19 (8): 899- 926
5	Shi J H , Luo L . Composition operators on the Bloch space of several complex variables. Acta Math Sin (English Series), 2000, 16, 85- 98 doi: 10.1007/s101149900028
6	Ye S L . Weighted composition operators from $F(p, q, s)$ into logarithmic Bloch space. J Kore Math Soc, 2008, 45 (4): 977- 991 doi: 10.4134/JKMS.2008.45.4.977
7	Yang W F . Volterra composition operators from $F(p, q, s)$ spaces to Bloch-type spaces. Bull Malay Math Sci, 2011, 34 (2): 267- 277
8	Liang Y X . On an integral-type operator from a weighted-type space to $F(p, q, s)$ on the unit ball. Complex Var Ellip Equ, 2015, 60 (2): 282- 291 doi: 10.1080/17476933.2014.926338
9	Wulan H S . Compactness of the composition operators from the Bloch space B to $Q_{k}$ spaces. Acta Math Sin (English Series), 2005, 21, 1415- 1424 doi: 10.1007/s10114-005-0584-7
10	Zhang X J , Guo Y T , Shang Q L , Li S L . The Gleason's problem on $F(p, q, s)$ type spaces in the unit ball of $\mathbb{C}^n$. Complex Anal Oper Theory, 2018, 12 (5): 1251- 1265 doi: 10.1007/s11785-017-0743-8
11	Zhang X J , Xu S , Li S L , Xiao J B . Composition operators on $F(p, q, s)$ type spaces in the unit ball of $\mathbb{C}^n$. Complex Anal Oper Theory, 2018, 12 (1): 141- 154 doi: 10.1007/s11785-016-0610-z
12	Li S L , Zhang X J , Xu S . The equivalent characterization of $F(p, q, s)$ space on bounded symmetric domains of $\mathbb{C}^n$. Acta Math Sci, 2017, 37B (6): 1791- 1802
13	Li S X , Stević S . Generalized composition operators on Zygmund spaces and Bloch type spaces. J Math Anal Appl, 2008, 338, 1282- 1295 doi: 10.1016/j.jmaa.2007.06.013
14	Xiao J . Composition operators associated with Bloch-type spaces. Complex Var Theory Appl, 2001, 46 (2): 109- 121
15	Wulan H S, Zhu K H. Möbius Invariant $Q_{K}$ Spaces. Swizerland: Springer-Nature, 2017
16	Chen H H , Gauthier P . Composition operators on $\mu$-Bloch spaces. Canad J Math, 2009, 61, 50- 75 doi: 10.4153/CJM-2009-003-1
17	Zhang X J , Xi L H , Fan H X , Li J F . Atomic decomposition of $\mu$-Bergman space in $\mathbb{C}^n$. Acta Math Sci, 2014, 34B (3): 779- 789
18	张学军, 吕睿昕, 唐鹏程. $\mathbb{C}^n$中单位球上一般Hardy型空间的几种等价刻画. 数学年刊, 2019, 40A (2): 113- 126
	Zhang X J , Lv R X , Tang P C . Several equivalent characterizations of general Hardy type spaces on the unit ball in $\mathbb{C}^n$. Chin Ann Math, 2019, 40A (2): 113- 126
19	Hu Z J . Composition operators between Bloch-type spaces in the polydisc. Sci in China, 2005, 48A (supp): 268- 282
20	Zhang X J , Xu S . Weighted differentiation composition operators between normal weight Zygmund spaces and Bloch spaces in the unit ball of $\mathbb{C}^n$ for $n>1$. Complex Anal Oper Theory, 2019, 13 (3): 859- 878 doi: 10.1007/s11785-018-0810-9
21	Li S L , Zhang X J . Composition operators on the normal weight Zygmund spaces in high dimensions. J Math Anal Appl, 2020, 487 (2): 124000 doi: 10.1016/j.jmaa.2020.124000
22	Li S L , Zhang X J , Xu S . The compact composition operator on the $\mu$-Bergman space in the unit ball. Acta Math Sci, 2017, 37B (2): 425- 438
23	Zhang X J , Huang Y . Composition operator between normal weight Dirichlet type space and Bloch type space. Complex Var Ellipt Equ, doi: 10.1080/17476933.2021.1934678
24	Littlewood J . On inequalities in the theory of functions. Proc London Math Soc, 1925, 23 (2): 481- 519
25	Nordgren E . Composition operators. Canad J Math, 1968, 20, 442- 449 doi: 10.4153/CJM-1968-040-4
26	Rudin W. Function Theory in the Unit Ball of $\mathbb{C}^n$. New York: Springer, 1980
27	Zhu K H. Spaces of Holomorphic Functions in the Unit Ball. New York: Springer (GTM 226), 2005
28	Cowen C , MacCluer B . Composition Operators on Spaces of Analytic Functions. Boca Raton: CRC Press, 1995
29	Liu Y M , Yu Y Y . Weighted differentiation composition operators from mixed-norm to Zygmund spaces. Numer Funct Anal Optim, 2010, 31, 936- 954 doi: 10.1080/00268976.2010.505108
30	Lou Z J . Composition operators on Bloch type spaces. Analysis, 2003, 23, 81- 95
31	Wang M F . Weighted composition operators between Dirichlet spaces. Acta Math Sci, 2011, 31B (2): 641- 651
32	Tang X M . Essential norms of weighted composition operators from Bloch-type space to $H^{\infty}$ on the unit ball. Complex Anal Oper Theory, 2015, 9 (1): 229- 244
33	Tang X M . Extended Cesàro operators between Bloch-type spaces in the unit ball of $\mathbb{C}^n$. J Math Anal Appl, 2007, 326 (2): 1199- 1211

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Composition Operators from Normal Weight General Function Spaces to Bloch Type Spaces

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