We prove that for $p\in (0,\infty)$ an analytic univalent function in the unit disk belongs to the Hardy space $H^p$ if and only if it belongs to the Dirichlet type space $\mathcal {D}_{p-1}^p$.
Illinois J. Math.
48(3):
837-859
(Fall 2004).
DOI: 10.1215/ijm/1258131055