Integral means and boundary limits of Dirichlet series
Integral means and boundary limits of Dirichlet series
This paper deals with the boundary behaviour of functions in the Hardy spaces ℋ p for ordinary Dirichlet series. The main result, answering a question of Hedenmalm, shows that the classical Carlson theorem on integral means does not extend to the imaginary axis for functions in ℋ ∞ , that …