Hardy空间上m-复对称Toeplitz算子
m-Complex Symmetric Toeplitz Operators on the Hardy Space
摘要: 本文分两部分刻画了Hardy空间上m-复对称的Toeplitz算子的符号特征:1) 以解析函数或者余解析函数为符号的Toeplitz算子的m-复对称性及其与正规性的关系;2) 以较一般函数为符号的Toeplitz算子的2-复对称性。
Abstract:
In this paper, the symbolic characteristics of m-complex symmetric Toeplitz operators on Hardy space are described in two parts: 1) the m-complex symmetry of Toeplitz operators with analytic functions or coanalytic functions as signs and their relations with normality; 2) the 2-complex symmetries of Toeplitz operators with more general functions as symbols.
参考文献
|
[1]
|
Garcia, S.R. and Putinar, M. (2006) Complex Symmetric Operators and Applications. Transactions of the American Mathematical Society, 358, 1285-1315. [Google Scholar] [CrossRef]
|
|
[2]
|
Guo, K. and Zhu, S. (2014) A Canonical Decomposition of Complex Symmetric Operators. Operator Theory, 72, 529-547. [Google Scholar] [CrossRef]
|
|
[3]
|
Ko, E. and Lee, J. (2016) On Complex Symmetric Toeplitz Operators. Journal of Mathematical Analysis and Applications, 434, 20-34. [Google Scholar] [CrossRef]
|
|
[4]
|
Li, R., Yang, Y. and Lu, Y. (2020) A Class of Complex Symmetric Toeplitz Operators on the Hardy and Bergman Spaces. Journal of Mathematical Analysis and Applications, 489, 124173. [Google Scholar] [CrossRef]
|
|
[5]
|
Martinez-Avendano, R.A. and Rosenthal, P. (2007) An Introduction to Operators on the Hardy-Hilbert Space. Graduate Texts in Mathematics, 237, Springer-Verlag, New York.
|
|
[6]
|
Kang, D.O., Ko, E. and Lee, J.E. (2019) On Complex Symmetric Block Toeplitz Operators. arXiv: 1904. 04410[math. FA].
|