We consider analytic self-maps ф1, ф2 of the open unit disk as well as analytic maps ѱ1, ѱ2. These maps induce differences of weighted composition operators acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. In this article we give necessary and sufficient conditions for such a difference to be bounded resp. compact.
@article{1404,
title = {Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces},
journal = {CUBO, A Mathematical Journal},
volume = {12},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1404}
}
Wolf, Elke. Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. CUBO, A Mathematical Journal, Tome 12 (2010) . http://gdmltest.u-ga.fr/item/1404/