8 citations · 14 across the 9 of their papers we have counts for
11 papers
Mean values, order, and convergence in the Hardy space of Dirichlet series
Ole Fredrik Brevig, Athanasios Kouroupis
Let denote the Hilbert space of Dirichlet series with square-summable coefficients. It follows from a theorem of Bohr that if in has a bounded a…
Harald Bohr's splitting theorem
Viktor Andersson, Ole Fredrik Brevig, Athanasios Kouroupis
We present a new elementary proof of a theorem due to Harald Bohr, which states that an unbounded, analytic, and almost periodic function in a half-plane can be written as the sum…
Carlson's theorem and vertical limit functions
Ole Fredrik Brevig, Athanasios Kouroupis
We extend a classical theorem of Carlson on moments of Dirichlet series from to . When combined with the ergodic theorem for the Kronecker flow, a coherent…
Brennan's conjecture holds for semigroups of holomorphic functions
Alexandru Aleman, Athanasios Kouroupis
In the present note, we give a short proof of Brennan's conjecture in the special case of continuous semigroups of holomorphic functions. We apply classical techniques of complex a…
Almost periodicity and boundary values of Dirichlet series
Ole Fredrik Brevig, Athanasios Kouroupis, Karl-Mikael Perfekt
We employ almost periodicity to establish analogues of the Hardy--Stein identity and the Littlewood--Paley formula for Hardy spaces of Dirichlet series. A construction of Saksman a…
On universality of general Dirichlet series
Frédéric Bayart, Athanasios Kouroupis
In the present work, we establish sufficient conditions for a Dirichlet series induced by general frequencies to be universal with respect to vertical translations. Our results can…
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…
An extension of Bohr's theorem
Ole Fredrik Brevig, Athanasios Kouroupis
The following extension of Bohr's theorem is established: If a somewhere convergent Dirichlet series has an analytic continuation to the half-plane $\mathbb{C}_θ= \{s = σ+it\,:…
A note on Bohr's theorem for Beurling integer systems
Frederik Broucke, Athanasios Kouroupis, Karl-Mikael Perfekt
Given a sequence of frequencies , a corresponding generalized Dirichlet series is of the form . We are interested in multiplicati…
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…
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…