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Operators commuting with self-adjoint weighted composition operators on H2
Complex Variables and Elliptic Equations ( IF 0.6 ) Pub Date : 2020-08-12 , DOI: 10.1080/17476933.2020.1804379
Eungil Ko 1
Affiliation  

ABSTRACT

In this paper we study weighted composition operators Wg,ψ commuting with self-adjoint weighted composition operators Wf,ϕ on the Hardy space H2. In particular, we investigate which combinations of symbol functions g and ψ give rise to Wg,ψ commuting with a self-adjoint weighted composition operator on H2. We also show that these commuting weighted composition operators are normal.



中文翻译:

在 H2 上与自伴随加权复合算子交换的算子

摘要

在本文中,我们研究了加权合成算子 G,ψ 与自伴随加权组合算子交换 F,φ 在哈代空间 H2. 特别地,我们研究了符号函数gψ 的哪些组合会产生G,ψ 与自伴随加权组合算子交换 H2. 我们还表明这些通勤加权组合算子是正常的。

更新日期:2020-08-12
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