牛顿空间上调和多项式符号的交换Toeplitz算子

IF 1 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2025-09-30 DOI:10.1007/s43034-025-00474-w

Xianchi Tian, Xianfeng Zhao

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引用次数: 0

摘要

本文建立了两个调和多项式符号Toeplitz算子在牛顿空间上可交换的充分必要条件。这个条件类似于Hardy空间上Brown-Halmos对Toeplitz算子所证明的定理，也类似于Axler -Čučković对Bergman空间上具有调和符号的Toeplitz算子所得到的结果。

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Commuting Toeplitz operators with harmonic polynomial symbols on the Newton space

In this paper, we establish a necessary and sufficient condition for two Toeplitz operators with harmonic polynomial symbols to commute on the Newton space. This condition is similar to the theorem proved by Brown–Halmos for Toeplitz operators on the Hardy space, and is also analogous to the result obtained by Axler–Čučković for Toeplitz operators with harmonic symbols on the Bergman space.

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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.