Numerical ranges of sum of two weighted composition operators on the Hardy space H^2

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.7153/jmi-2022-16-92

M. H. Shaabani, Narjes Vafaei

引用次数: 0

Abstract

. Let ϕ be an analytic self-map of the open unit disk D and let ψ be an analytic function on D . The weighted composition operator C ψ , ϕ is the operator on the Hardy space H 2 given by C ψ , ϕ f = ψ f ◦ ϕ . Under some conditions on ϕ 1 and ϕ 2 , we try to ﬁ nd a subset of the numerical range of C ψ 1 , ϕ 1 + C ψ 2 , ϕ 2 and determine when zero lies in the interior of the numerical range of C ψ 1 , ϕ 1 + C ψ 2 , ϕ 2 .

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Hardy空间H^2上两个加权复合算子和的数值值域

．设φ是开单位盘D的解析自映射，设ψ是D上的解析函数。加权复合算子C ψ， φ是Hardy空间h2上的算子，由C ψ， φ f = ψ f◦φ给出。在φ 1和φ 2的某些条件下，我们试图找到C ψ 1， φ 1 + C ψ 2， φ 2的数值范围的一个子集，并确定零何时位于C ψ 1， φ 1 + C ψ 2， φ 2的数值范围的内部。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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