Work

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

Year: 2024

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.13176

Authors: Dimitrios Vavitsas, Konstantinos Zarvalis

Institutions: Parthenope University of Naples, Aristotle University of Thessaloniki

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

Funder: Narodowym Centrum Nauki