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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
Elke Wolf. "On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces." Annales Polonici Mathematici 101.1 (2011): 21-29. <http://eudml.org/doc/280703>.
@article{ElkeWolf2011, abstract = {Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator $ψC_\{ϕ\}$ 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}, author = {Elke Wolf}, journal = {Annales Polonici Mathematici}, keywords = {weighted composition operators; weighted Bloch type spaces; weighted Banach spaces of holomorphic functions}, language = {eng}, number = {1}, pages = {21-29}, title = {On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces}, url = {http://eudml.org/doc/280703}, volume = {101}, year = {2011}, }
TY - JOUR AU - Elke Wolf TI - On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces JO - Annales Polonici Mathematici PY - 2011 VL - 101 IS - 1 SP - 21 EP - 29 AB - Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator $ψC_{ϕ}$ 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 LA - eng KW - weighted composition operators; weighted Bloch type spaces; weighted Banach spaces of holomorphic functions UR - http://eudml.org/doc/280703 ER -