圆盘上的加权双曲合成组和附属积分算子

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-08-20 DOI:10.1016/j.aim.2024.109877

Luciano Abadias , José E. Galé , Pedro J. Miana , Jesús Oliva-Maza

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引用次数: 0

摘要

我们提供了加权组成算子群的谱图，这些算子群是由作用于全形函数的单位圆盘的双曲自变群诱导的。我们讨论了关于单个加权双曲合成算子谱的一些问题，并完成或部分扩展了文献中与之相关的结果。此外，我们关于加权双曲群的结果还被应用于两族多参数加权平均算子的谱研究，这两族多参数加权平均算子概括了西斯卡基斯算子和还原希尔伯特矩阵算子。

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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Weighted hyperbolic composition groups on the disc and subordinated integral operators

We provide the spectral picture of groups of weighted composition operators, induced by the hyperbolic group of automorphisms of the unit disc, acting on holomorphic functions. Some questions about the spectrum of single weighted hyperbolic composition operators are discussed, and results related with them in the literature are completed or partly extended. Also, our results on the weighted hyperbolic group are applied to the spectral study of two families of multiparameter weighted averaging operators, which generalize both Siskakis' operator and the reduced Hilbert matrix operator.

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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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