Dimitrios Vavitsas

activity

20222026

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Showing 2026 · math.CVShow all

3 papers · 2 filters

math.CV2026

An overview of cyclicity in Dirichlet-type spaces in the unit ball

Dimitrios Vavitsas

We shall discuss the characterization of cyclicity of polynomials in Dirichlet-type spaces in the Euclidean unit ball of $C^{n}$ which remains an open problem.

math.CV2026

Boundary zeros of stable polynomials in the unit ball

Dimitrios Vavitsas, Jujie Wu, Konstantinos Zarvalis

We study polynomials in several complex variables that are stable (i.e. they have no zeros in the unit ball $B_{n}$ ), but vanish on the unit sphere along submanifolds of dim…

math.CV2026

Riesz $α$ -capacity of Cantor sets and cyclicity in Dirichlet-type spaces

Dimitrios Vavitsas, Jujie Wu, Konstantinos Zarvalis

We examine the threshold of the cyclicity for functions in Dirichlet-type spaces $D_{α}$ , $α \in (0, 1]$ . Given a fixed $α^{*} \in (0, 1]$ , we construct a holomorphic function $f…

An overview of cyclicity in Dirichlet-type spaces in the unit ball

Boundary zeros of stable polynomials in the unit ball

Riesz α-capacity of Cantor sets and cyclicity in Dirichlet-type spaces

Riesz $α$ -capacity of Cantor sets and cyclicity in Dirichlet-type spaces