Hardy空间H^2上两个加权复合算子和的数值值域

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

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引用次数: 0

摘要

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

. 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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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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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