单位球的dirichlet型空间中的非循环性和多项式

IF 0.8 3区数学 Q2 MATHEMATICS Bulletin of the London Mathematical Society Pub Date : 2024-11-06 DOI:10.1112/blms.13176

Dimitrios Vavitsas, Konstantinos Zarvalis

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引用次数: 0

摘要

我们给出了零集与C n$ {\mathbb {C}}^n$单位球中无零多项式的单位球的交点的描述。这一描述给出了多项式在单位球的dirichlet型空间中循环的必要条件。

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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Non-cyclicity and polynomials in Dirichlet-type spaces of the unit ball

We give a description of the intersection of the zero set with the unit sphere of a polynomial that is zero-free in the unit ball of $C^{n}$ . This description leads to a necessary condition for a polynomial to be cyclic in Dirichlet-type spaces of the unit ball.

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来源期刊

Bulletin of the London Mathematical Society 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

198

审稿时长

4-8 weeks

期刊介绍： Published by Oxford University Press prior to January 2017: http://blms.oxfordjournals.org/

期刊最新文献

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