正规权一般函数空间到Bloch型空间的复合算子

Abstract

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.

Trendmd

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

[1]	Anran Li,Dandan Fan,Chongqing Wei. Existence and Asymptotic Behaviour of Solutions for Kirchhoff Type Equations with Zero Mass and Critical [J]. Acta mathematica scientia,Series A, 2022, 42(6): 1729-1743.
[2]	Wenjie Liu,Shengli Xie. Existence Results of Mild Solutions for Impulsive Neutral Measure Differential Equations with Infinite Delay [J]. Acta mathematica scientia,Series A, 2022, 42(6): 1671-1681.
[3]	Wending Xu,Ting Zhong. The Convergence of Nonsmooth Newton's Method [J]. Acta mathematica scientia,Series A, 2022, 42(5): 1537-1550.
[4]	Jie JIANG. BOUNDEDNESS AND EXPONENTIAL STABILIZATION IN A PARABOLIC-ELLIPTIC KELLER–SEGEL MODEL WITH SIGNAL-DEPENDENT MOTILITIES FOR LOCAL SENSING CHEMOTAXIS [J]. Acta mathematica scientia,Series A, 2022, 42(3): 825-846.
[5]	Shuyan QIU, Chunlai MU, Hong YI. BOUNDEDNESS AND ASYMPTOTIC STABILITY IN A PREDATOR-PREY CHEMOTAXIS SYSTEM WITH INDIRECT PURSUIT-EVASION DYNAMICS [J]. Acta mathematica scientia,Series A, 2022, 42(3): 1035-1057.
[6]	Teng HUANG. A COMPACTNESS THEOREM FOR STABLE FLAT $SL(2,\mathbb{C})$ CONNECTIONS ON 3-FOLDS [J]. Acta mathematica scientia,Series A, 2022, 42(3): 1160-1172.
[7]	Zerong He,Nan Zhou. Optimal Harvesting in a Competing System of Hierarchical Age-Structured Populations [J]. Acta mathematica scientia,Series A, 2022, 42(1): 228-244.
[8]	Ning Xu,Zehua Zhou,Ying Ding. Commutators of Weighted Composition Operators on Hardy Space of the Unit Ball [J]. Acta mathematica scientia,Series A, 2021, 41(6): 1606-1615.
[9]	Zhe Jia,Zuodong Yang. Global Boundedness in a Chemotaxis-Haptotaxis Model with Nonlinear Diffusion and Signal Production [J]. Acta mathematica scientia,Series A, 2021, 41(5): 1382-1395.
[10]	Pengcheng Tang,Si Xu,Xuejun Zhang. Bergman Type Operators on Logarithmic Weight General Function Spaces in Cⁿ [J]. Acta mathematica scientia,Series A, 2020, 40(5): 1151-1162.
[11]	Yaoyao Han,Kai Zhao. Boundedness of Marcinkiewicz Integral and Its Commutator on Non-Homogeneous Metric Measure Spaces [J]. Acta mathematica scientia,Series A, 2020, 40(3): 597-610.
[12]	Haide Gou. Existence of L-Quasi Mild Solutions for Damped Elastic Systems in Banach Spaces [J]. Acta mathematica scientia,Series A, 2020, 40(2): 408-421.
[13]	Si Xu,Xuejun Zhang. Weighted Composition Operator on the Normal Weight Zygmund Space in the Unit Ball [J]. Acta mathematica scientia,Series A, 2020, 40(2): 288-303.
[14]	Limin Zhang,Haiyan Xu,Chunhua Jin. Global Existence and Stability to a Prey-Taxis Model with Porous Medium Diffusion and Indirect Signal Production [J]. Acta mathematica scientia,Series A, 2019, 39(6): 1381-1404.
[15]	Bo Zhu,Baoyan Han,Lishan Liu. Existence of Mild Solutions for a Class of Fractional Semilinear Integro-Differential Equation of Mixed Type [J]. Acta mathematica scientia,Series A, 2019, 39(6): 1334-1341.

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

RichHTML

PDF (PC)

Abstract

Cite this article

share this article

References 33

Related Articles 15

Metrics

Comments

Recommended 10