加权Bergman空间上以调和多项式为符号函数的Toeplitz算子的亚正规性
Hyponormality of the Toeplitz Operators with the Harmonic Polynomial Functions on Weighted Bergman Spaces
摘要: 本文刻画了在复平面上开单位圆盘中一般加权Bergman空间上以调和多项式为符号的Toeplitz算子的亚正规性。
Abstract: In this paper, we describe the hyponormality of the Toeplitz operators with harmonic polynomialsas symbols on the weighted Bergman space in the open unit disk on the complex plane.
文章引用:郑益, 杨纪龙. 加权Bergman空间上以调和多项式为符号函数的Toeplitz算子的亚正规性[J]. 理论数学, 2023, 13(9): 2683-2689. https://doi.org/10.12677/PM.2023.139275

参考文献

[1] Hwang, I.S. (2005) Hyponormal Toeplitz Operators on the Bergman Space. Journal of the Korean Mathematical Society, 42, 387-403. [Google Scholar] [CrossRef
[2] Lu, Y.F. and Shi, Y.Y. (2009) Hyponormal Toeplitz Operators on the Weighted Bergman Space. Integral Equations and Operator Theory, 65, 115-129. [Google Scholar] [CrossRef
[3] Ahern, P. and Cuckovic, Z. (1996) A Mean Value Inequality with Applications to Bergman Space Operators. Pacific Journal of Mathematics, 173, 295-305. [Google Scholar] [CrossRef
[4] Hwang, I.S. and Lee, J. (2007) Hyponormal Toeplitz Operators on the Bergman Space. II. Bulletin of the Korean Mathematical Society, 44, 517-522. [Google Scholar] [CrossRef
[5] Lu, Y.f. and Liu, C.m. (2009) Commutativity and Hyponormality of Toeplitz Operators on the Weighted Bergman Space. Journal of the Korean Mathematical Society, 46, 621-642. [Google Scholar] [CrossRef