Cyclic polynomials in Dirichlet-type spaces in the unit ball of $\mathbb C^2$
{\L}ukasz Kosi\'nski, Dimitrios Vavitsas
TL;DR
This paper characterizes which polynomials are cyclic in Dirichlet-type spaces within the unit ball of rac{rac{2}{2} in rac{2}{2} in rac{2}{2} in rac{2}{2} in rac{2}{2} in rac{2}{2} in rac{2}{2} in rac{2}{2} in rac{2}{2} in rac{2}{2} in the unit ball of ^2.
Contribution
It provides a complete characterization of cyclic polynomials in Dirichlet-type spaces in the two-dimensional complex unit ball.
Findings
Identifies conditions for polynomials to be cyclic in these spaces.
Establishes a link between polynomial properties and space cyclicity.
Advances understanding of function theory in several complex variables.
Abstract
We characterize polynomials that are cyclic in Dirichlet-type spaces in the unit ball in
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Harmonic Analysis Research · Algebraic and Geometric Analysis