In this paper we introduce natural metrics in the hyperbolic α-Bloch and hyperbolic general Besov-type classes F∗(p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, compact composition operators Cφ acting from the hyperbolic α-Bloch class to the class F∗(p, q, s) are characterized by conditions depending on an analytic self-map φ : D → D.
@article{1295,
title = {Composition operators in hyperbolic general Besov-type spaces},
journal = {CUBO, A Mathematical Journal},
volume = {15},
year = {2013},
language = {en},
url = {http://dml.mathdoc.fr/item/1295}
}
El-Sayed Ahmed, A.; Bakhit, M. A. Composition operators in hyperbolic general Besov-type spaces. CUBO, A Mathematical Journal, Tome 15 (2013) . http://gdmltest.u-ga.fr/item/1295/