Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces. Under some assumptions on the weights we give a characterization for such an operator to be bounded in terms of the weights involved as well as the functions ψ and ϕ
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-1-2, author = {Elke Wolf}, title = {On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces}, journal = {Annales Polonici Mathematici}, volume = {101}, year = {2011}, pages = {21-29}, zbl = {1213.47029}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-1-2} }
Elke Wolf. On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces. Annales Polonici Mathematici, Tome 101 (2011) pp. 21-29. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-1-2/