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

Abstract 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 . 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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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2024-11-06
DOI
https://doi.org/10.1112/blms.13176
Citations
2
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
1.95
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article

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

Konstantinos Zarvalis, Dimitrios Vavitsas
2 citations
Bulletin of the London Mathematical Society
Holomorphic and Operator Theory
1.95
article

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

Konstantinos Zarvalis, Dimitrios Vavitsas
article en
2 citations

Abstract

Abstract 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 . This description leads to a necessary condition for a polynomial to be cyclic in Dirichlet‐type spaces of the unit ball.

Bulletin of the London Mathematical SocietyVol. 56(12)
Parthenope University of Naples (IT), Aristotle University of Thessaloniki (GR)
Openalex Percentile: Top 13%
Holomorphic and Operator Theory
1.95
DOIOpen Access PDFOpenAlex
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Non‐cyclicity and polynomials in Dirichlet‐type spaces of the unit ball — Konstantinos Zarvalis, Dimitrios Vavitsas · Bulletin of the London Mathematical Society (2024) | TGRS Research Map | TGRS