Univalent functions, Hardy spaces and spaces of Dirichlet type
Baernstein, Albert ; Girela, Daniel ; Peláez, José Ángel
Illinois J. Math., Tome 48 (2004) no. 3, p. 837-859 / Harvested from Project Euclid
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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 $\mathcal {D}_{p-1}^p$.
Publié le : 2004-07-15
Classification:  30H05,  30C35,  30D55,  31C25,  46E15 
@article{1258131055,
     author = {Baernstein, Albert and Girela, Daniel and Pel\'aez, Jos\'e \'Angel},
     title = {Univalent functions, Hardy spaces and spaces of Dirichlet type},
     journal = {Illinois J. Math.},
     volume = {48},
     number = {3},
     year = {2004},
     pages = { 837-859},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258131055}
}

Baernstein, Albert; Girela, Daniel; Peláez, José Ángel. Univalent functions, Hardy spaces and spaces of Dirichlet type. Illinois J. Math., Tome 48 (2004) no. 3, pp.  837-859. http://gdmltest.u-ga.fr/item/1258131055/