Integral means of the derivatives of Blaschke products

Emmanuel Fricain (1) , Javad Mashreghi (2)

1 ICJ - Institut Camille Jordan
2 Université LAVAL, Département de Mathématiques et de Statistiques

We study the rate of growth of some integral means of the derivatives of a Blaschke product and we generalize several classical results. Moreover, we obtain the rate of growth of integral means of the derivative of functions in the model subspace $K_B$ generated by the Blaschke product $B$

Domaines: Variables complexes [math.CV]; Analyse fonctionnelle [math.FA]

Emmanuel Fricain, Javad Mashreghi. Integral means of the derivatives of Blaschke products. Glasgow Mathematical Journal, 2008, 50 (2), pp.233-249. ⟨hal-00232789⟩