Commuting Toeplitz and small Hankel operators on the Bergman space

IF 0.7 2区数学 Q2 MATHEMATICS

Collectanea Mathematica Pub Date : 2024-03-14 DOI:10.1007/s13348-024-00438-8

Jiawei Wang, Jie Zhang, Xianfeng Zhao

引用次数: 0

Abstract

This paper shows that on the Bergman space of the open unit disk, the Toeplitz operator \(T_{{\overline{p}}+\varphi }\) and the small Hankel operator \(\Gamma _\psi\) commute only in the obvious cases, where \(\varphi\) and \(\psi\) are both bounded analytic functions, and p is an analytic polynomial.

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伯格曼空间上的共通托普利兹和小汉克尔算子

本文表明，在开放单位盘的伯格曼空间上，托普利兹算子（T_{\overline{p}}+\varphi }\）和小汉克尔算子（\Gamma _\psi\）只有在明显的情况下才换向，即\(\varphi\)和\(\psi\)都是有界解析函数，并且p是解析多项式。

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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来源期刊

Collectanea Mathematica 数学-数学

CiteScore

2.70

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： Collectanea Mathematica publishes original research peer reviewed papers of high quality in all fields of pure and applied mathematics. It is an international journal of the University of Barcelona and the oldest mathematical journal in Spain. It was founded in 1948 by José M. Orts. Previously self-published by the Institut de Matemàtica (IMUB) of the Universitat de Barcelona, as of 2011 it is published by Springer.