Bergman空间上以拟齐次函数与径向函数的和函数为符号的Toeplitz算子的双正规性
Binormality of Toeplitz Operators with the Sum Function of Quasi-Homogeneous Function and Radial Function Symbols on the Bergman Space

DOI: 10.12677/PM.2023.1311326, PP. 3146-3153

Keywords: Bergman空间，Toeplitz算子，拟齐次函数，径向函数，双正规性
Bergman Space, Toeplitz Operator, Quasi-Homogeneous Function, Radial Function, Binormality

Full-Text   Cite this paper   Add to My Lib

Abstract:

本文刻画了Bergman空间上以拟齐次函数与径向函数的和函数为符号的Toeplitz算子的双正规性。
In this paper, we describe the binormality of Toeplitz operators with the sum of quasi-homogeneous function and radial function symbols on the Bergman space.

References

[1]	Kim, S. and Lee, J. (2020) Normal Toeplitz Operators on the Bergman Space. Mathematics, 8, 1463. https://doi.org/10.3390/math8091463
[2]	Cuckovi, Z. and Curto, R.E. (2018) A New Necessary Condition for the Hyponormality of Toeplitz Operators on the Bergman Space. Journal of Operator Theory, 79, 287-300.
[3]	Lu, Y. and Shi, Y. (2009) Hyponormal Toeplitz Operators on the Weighted Bergman Space. Integral Equations and Operator Theory, 65, 115-129. https://doi.org/10.1007/s00020-009-1712-z
[4]	Lu, Y. and Liu, C. (2009) Commutativity and Hyponormality of Toeplitz Operators on the Weighted Bergman Space. Journal of the Korean Mathematical Society, 46, 621-642. https://doi.org/10.4134/JKMS.2009.46.3.621

Full-Text