负阶Fock–Sobolev空间上的交换Toeplitz算子

Pub Date : 2023-10-15 DOI:10.1007/s10114-023-1541-z

Hong Rae Cho, Han-Wool Lee

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引用次数: 0

摘要

在复平面上正阶Fock–Sobolev空间的设置中，Choe和Yang证明了如果具有有界符号的两个可交换Toeplitz算子的符号之一是非平凡径向的，那么另一个也必须是径向的。在本文中，我们使用具有合流超几何函数的Fock型空间将这一结果推广到负阶的Fock–Sobolev空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Commuting Toeplitz Operators on Fock–Sobolev Spaces of Negative Orders

In the setting of Fock–Sobolev spaces of positive orders over the complex plane, Choe and Yang showed that if the one of the symbols of two commuting Toeplitz operators with bounded symbols is non-trivially radial, then the other must also be radial. In this paper, we extend this result to the Fock–Sobolev space of negative order using the Fock-type space with a confluent hypergeometric function.

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