Fock空间上Toeplitz算子和Hankel算子的混合乘积

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2020-05-15 DOI:10.7900/jot.2018dec10.2246

Pan Ma, Fugang Yan, Dechao Zheng, Kehe Zhu

引用次数: 4

摘要

对于整个函数f和g，我们精确地确定Hankel算子H’’f和Toeplitz算子T’’g的乘积H’’‘fT’’’g何时在Fock空间F2α上有界。这解决了Sarason的Toeplitz产品问题的自然伴侣。

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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Mixed products of Toeplitz and Hankel operators on the Fock space

For entire functions f and g we determine exactly when the product H¯¯¯fT¯¯¯g of the Hankel operator H¯¯¯f and the Toeplitz operator T¯¯¯g is bounded on the Fock space F2α. This solves a natural companion to Sarason's Toeplitz product problem.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.