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math.FA2023★ 2 cited
Schatten class composition operators on the Hardy space of Dirichlet series and a comparison-type principle
Frédéric Bayart, Athanasios Kouroupis
We give necessary and sufficient conditions for a composition operator with Dirichlet series symbol to belong to the Schatten classes of the Hardy space of Di…
math.FA2022
Composition operators and generalized primes
Athanasios Kouroupis
We study composition operators on the Hardy space of Dirichlet series with square summable coefficients. Our main result is a necessary condition, in terms of a Nev…
math.FA2022★ 8 cited
Composition operators on weighted Hilbert spaces of Dirichlet series
Athanasios Kouroupis, Karl-Mikael Perfekt
We study composition operators of characteristic zero on weighted Hilbert spaces of Dirichlet series. For this purpose we demonstrate the existence of weighted mean counting functi…