Area operators on Hardy spaces of Dirichlet series II: counterexamples and compactness criteria

Jiale Chen, Maofa Wang, Zixing Yuan

We study area operators ${\mathbb{A}}_{\mu ,l}$, $0<l<\infty$, induced by positive Borel measures on the right half-plane and acting on the Hardy spaces of Dirichlet series $\mathscr H^…