Viktor Andersson

collaborators

4 papers

math.FA2026

Exotic operators on the Hardy spaces of the infinite-dimensional torus

Viktor Andersson

We quantify the failure of interpolation between Hardy spaces $H^{p} (T^{\infty})$ on the infinite-dimensional torus. For any set $A \subseteq [1, \infty]$ such that $A\setminus\{\…

math.CA2026

The Littlewood-Paley formula and mean counting function for vertical limits of Dirichlet series

Viktor Andersson

We prove a Littlewood-Paley formula for the Hardy space of Dirichlet series $H^{p}$ with $1 \leq p < \infty$ in terms of almost every vertical limit function. This significant…

math.CA2026

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…

math.FA2025

Montel's theorem and composition operators for analytic almost periodic functions

Viktor Andersson

We consider the Banach space $H_{ap}^{\infty} (C_{0})$ of bounded analytic functions on the open right half-plane $C_{0}$ that are almost periodic on some small…