$ \boldsymbol{H^{p,q,s}}({\Bbb D})$上的复合算子

Abstract

CLC Number:

O174.56

Hongxin Chen, Xuejun Zhang, Min Zhou. Composition Operators on $ \boldsymbol{H^{p,q,s}}({\Bbb D})$[J].Acta mathematica scientia,Series A, 2023, 43(1): 1-13.

Trendmd

References 17

[1]	Stević S, Ueki S I. Weighted composition operators from the weighted Bergman space to the weighted Hardy space on the unit ball. Appl Math Comput, 2010, 215: 3526-3533
[2]	Čučković Z, Zhao R H. Weighted composition operators between different weighted Bergman spaces and different Hardy spaces. IIlinois J of Math, 2007, 51(2): 479-498
[3]	Ueki S I, Luo L. Compact weighted composition operators and multiplication operators between Hardy spaces. Abstr Appl Anal, 2008, Article ID: 196498
[4]	Zhang X J, Lv R X, Tang P C. Several equivalent characterizations of general Hardy type spaces on the unit ball in $ {\Bbb C}^{\it n}$. Chin J Conte Math, 2019, 40(2): 101-114
[5]	Li S L, Zhang X J. Toeplitz type operator and Gleason's problem on $H^{p,q,s}(B)$ of ${\Bbb C}^{n}$. Complex Var Ellip Equat, 2021, 66(8): 1362-1379
[6]	Xu S, Zhang X J. Multiplier and composition operator between several holomorphic function spaces in ${{\Bbb C}^{\it n}}$. Complex Anal Oper Theory, 2021, 15(2), Article number: 36
[7]	Cowen C C, MacCluer B D. Composition Operators on Spaces of Analytic Functions. Boca Raton: CRC Press, 1995
[8]	Zhu K H. Operator Theory in Function Spaces. Providence, RI: Amer Math Soc, 2007
[9]	Zhu K H. Spaces of Holomorphic Functions in the Unit Ball. New York: Springer-Verlag, 2005
[10]	Rudin W. Function Theory in the Unit Ball of ${\Bbb C}^n$. New York: Springer-Verlag, 1980
[11]	Shields A, Williams D. Bounded projections, duality and multipliers in space of analytic functions. Trans Amer Math Soc, 1971, 167: 253-268
[12]	Littlewood J. On inequalities in the theory of functions. Proc London Math Soc, 1925, 23(2): 481-519
[13]	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 doi: 10.1007/s11785-014-0410-2
[14]	Ye S L. Weighted composition operators from $F(p,q,s)$ into logarithmic Bloch space. J Kore Math Soc, 2008, 45(4): 977-991
[15]	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, 2008, 19(8): 899-926 doi: 10.1142/S0129167X08004984
[16]	张学军, 李菊香. ${\Bbb C}^n$中单位球上$\mu$-Bloch空间之间的复合算子. 数学物理学报, 2009, 29A(3): 573-583
	Zhang X J, Li J X. Weighted composition operators between $\mu$-Bloch spaces on the unit ball of ${\Bbb C}^n$. Acta Math Sci, 2009, 29A(3): 573-583
[17]	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

Composition Operators on $ \boldsymbol{H^{p,q,s}}({\Bbb D})$

RichHTML

PDF (PC)

Abstract

Cite this article

share this article

References 17

Related Articles 15

Metrics

Comments

Recommended 10

[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]	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.
[4]	Wending Xu,Ting Zhong. The Convergence of Nonsmooth Newton's Method [J]. Acta mathematica scientia,Series A, 2022, 42(5): 1537-1550.
[5]	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.
[6]	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.
[7]	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.
[8]	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.
[9]	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.
[10]	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.
[11]	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.
[12]	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.
[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]	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.
[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.