向量值指数型权 Bergman 空间上的 Hankel 算子

Abstract

CLC Number:

O177.1

Dong Jianxiang. Hankel Operators on Vector-Valued Bergman Space with Exponential Type Weights[J].Acta mathematica scientia,Series A, 2024, 44(3): 513-524.

Trendmd

References

[1]	Békollé D, Defo H, Tchoundja E, Wick B. Litte Hankel operators between vector-valued Bergman spaces on the unit ball. Integral Equations Operator Theory, 2021, 93(3): Article number 28
[2]	Bommier-Hato H, Constantin O. Big Hankel operators on vector-valued Fock spaces in $\mathbb{C}^{d}$ . Integral Equations Operator Theory, 2018, 90(1): 2-25
[3]	陈建军, 徐广侠. 向量值广义Segal-Bargmann空间上具有正算子值符号的Hankel算子. 数学进展, 2022, 51(2):335-350
[3]	Chen J J, Xu G X. Hankel operators with positive operator-valued symbols on vector-valued generalized Segal-Bargmann spaces. Adv Math (China), 2022, 51(2): 335-350
[4]	Chen J J, Xu G X. Hankel operators between different doubling Fock spaces. J Inequal Appl, 2022, 2202(1): Article number 136
[5]	Constantin O. Weak product decompositions and Hankel operators on vector-valued Bergman spaces. J Operator Theory, 2008, 59(1): 157-178
[6]	Constantin O, Ortega-Cerda J. Some spectral properties of the canonical solution operator to $\bar{\partial}$ on weighted Fock spaces. J Math Anal Appl, 2011, 377: 353-361
[7]	Das N. Toeplitz and Hankel operators on a vector-valued Bergman space. Khayyam J Math, 2015, 1(2): 230-242
[8]	Delin H. Pointwise estimates for the weighted Bergman projection kernel in $\mathbb{C}^{n}$ , using a weighted $L^2$ estimate for the $\bar{\partial}$ equation. Ann Inst Fourier (Greno-ble), 1998, 48(4): 967-997
[9]	Galanopoulos P. Schatten Class Hankel operators on large Bergman spaces. https://arxiv.org/abs/2106.05898v1, 2021
[10]	Gupta A, Gupta B. Bounded and compact Hankel operators on the Fock-Sobolev spaces. Filomat, 2022, 36(14): 4767-4778
[11]	Hu Z J, Virtanen J. IDA and Hankel operators on Fock spaces. Analysis & PDE, 2023, 16(9): 2041-2077
[12]	Hu Z J, Virtanen J. Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon. Trans Amer Math Soc, 2022, 375: 3733-3753
[13]	Lin P, Rochberg R. Trace ideal criteria for Toeplitz and Hankel operators on the weighted Bergman spaces with exponential type weights. Pacific J Math, 1996, 173(1): 127-146
[14]	Luecking D. Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk. J Funct Anal, 1992, 110: 247-271
[15]	Lv X F. Embedding theorems and integration operators on Bergman spaces with exponential weights. Ann Funct Anal, 2019, 10(1): 122-134
[16]	Lv X F, Arroussi H. Toeplitz operators on Bergman spaces with exponential weights for 0 < p ≤ 1. Bull Sci Math, 2021, 173: 103068
[17]	Nikol?ki N K. Operators, Functions and Systems: An Easy Reading, Vol 1. Hardy, Hankel and Toeplitz. Providence: American Mathematical Society, 2002
[18]	Oliver R. Hankel Operators on Vector-valued Bergman Spaces. Barcelona: Universitat de Barcelona, 2017
[19]	Peller V. Hankel Operators and Their Applications. New York: Springer, 2003
[20]	Sa?d A, Amal H. Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential type weights. C R Math Acad Sci Paris, 2014, 352(1): 13-16
[21]	Zhang Y Y, Wang X F, Hu Z J. Toeplitz operators on Bergman spaces with exponential weights. Complex Variables and Elliptic Equations, 2023, 68(6): 947-1007
[22]	Zhu K H. Operator Theory in Function Spaces. Providence, RI: American Mathematical Society, 2007

Related Articles 15

[1]	Kaixin Deng, Yuxia Liang, Zicong Yang. Generalized Volterra-type Integration Operators on Harmonic Fock Space [J]. Acta mathematica scientia,Series A, 2025, 45(5): 1373-1380.
[2]	Chun Wang, Tianzhou Xu. The Coefficient Multipliers Between $A^2$ and $\mathcal{D}^2$ with Hyers-Ulam Stability [J]. Acta mathematica scientia,Series A, 2025, 45(5): 1381-1391.
[3]	Hao Hu, Shanli Ye. Norm of the Hilbert Matrix on the Logarithmically Weighted Bergman Spaces [J]. Acta mathematica scientia,Series A, 2025, 45(5): 1405-1416.
[4]	Yu Dong, Yingyuan Cao, Ran Li. H-Toeplitz Operators and H-Hankel Operators with Radial Symbols on Harmonic Bergman Space [J]. Acta mathematica scientia,Series A, 2025, 45(5): 1417-1423.
[5]	Quan Liu, Jianghua Ye, Xiongjun Zheng. Existence of Solution for Schrödinger-Poisson Equation with Nonstabilizing Potential [J]. Acta mathematica scientia,Series A, 2025, 45(5): 1492-1518.
[6]	Ku Fuli. Compact Commutators of $m$ -Linear Calderón-Zygmund Operators on Generalized Morrey Spaces [J]. Acta mathematica scientia,Series A, 2024, 44(2): 286-297.
[7]	Liu Xinyan, Li Xiaoguang. Orbital Stability of Standing Waves for a Class of Inhomogeneous Nonlinear Schrödinger Equation [J]. Acta mathematica scientia,Series A, 2024, 44(2): 476-483.
[8]	Chen Jianhua, Peng Jianwen. Research on the Convergence Rate of Bregman ADMM for Nonconvex Multiblock Optimization [J]. Acta mathematica scientia,Series A, 2024, 44(1): 195-208.
[9]	Lan Chao, Fan Xingya. The Discrete Series of Affine Symmetric Space ${SO^\ast(6)/SO(3,\mathbb{C})}$ [J]. Acta mathematica scientia,Series A, 2023, 43(6): 1649-1658.
[10]	Ding Xuanhao,Hou Lin,Li Yongning. The Reproducing Kernel of Bergman Space and the Eigenvectors of Toeplitz Operator [J]. Acta mathematica scientia,Series A, 2023, 43(5): 1333-1340.
[11]	Shen Qinrui,Sun Junjun. Measure of Non-Compactness of Operators in Hilbert Space [J]. Acta mathematica scientia,Series A, 2023, 43(4): 1003-1008.
[12]	Li Yixian,Zhang Zhengjie. The Existence of Ground State Solutions for a Class of Equations Related to Klein-Gordon-Maxwell Systems [J]. Acta mathematica scientia,Series A, 2023, 43(3): 680-690.
[13]	Li Yongxiang,Wei Qilin. Existence Results of Periodic Solutions for Semilinear Evolution Equation in Banach Spaces and Applications [J]. Acta mathematica scientia,Series A, 2023, 43(3): 702-712.
[14]	Li Yangrong, Wang Fengling, Yang Shuang. Backward $W$ -compact Mean Dynamics for Stochastic ${g}$ -Navier-Stokes Equations with Nonlinear Noise [J]. Acta mathematica scientia,Series A, 2023, 43(2): 531-548.
[15]	Chen Hongxin,Zhang Xuejun,Zhou Min. Composition Operators on $\boldsymbol{H^{p,q,s}}({\Bbb D})$ [J]. Acta mathematica scientia,Series A, 2023, 43(1): 1-13.

Hankel Operators on Vector-Valued Bergman Space with Exponential Type Weights

RichHTML

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0