Open Access
Fall 2004 Univalent functions, Hardy spaces and spaces of Dirichlet type
Albert Baernstein II, Daniel Girela, José Ángel Peláez
Illinois J. Math. 48(3): 837-859 (Fall 2004). DOI: 10.1215/ijm/1258131055
Abstract

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 $\mathcal {D}_{p-1}^p$.

Baernstein, Girela, and Peláez: Univalent functions, Hardy spaces and spaces of Dirichlet type
Copyright © 2004 University of Illinois at Urbana-Champaign
Albert Baernstein II, Daniel Girela, and José Ángel Peláez "Univalent functions, Hardy spaces and spaces of Dirichlet type," Illinois Journal of Mathematics 48(3), 837-859, (Fall 2004). https://doi.org/10.1215/ijm/1258131055
Published: Fall 2004
Vol.48 • No. 3 • Fall 2004
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