Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space
Elke Wolf
Annales Polonici Mathematici, Tome 95 (2009), p. 43-50 / Harvested from The Polish Digital Mathematics Library
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Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator ψCϕ acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. Under some assumptions on the weights we give a necessary as well as a sufficient condition for such an operator to be bounded resp. compact.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:280987 
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     title = {Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space},
     journal = {Annales Polonici Mathematici},
     volume = {95},
     year = {2009},
     pages = {43-50},
     zbl = {1185.47024},
     language = {en},
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Elke Wolf. Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space. Annales Polonici Mathematici, Tome 95 (2009) pp. 43-50. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap96-1-3/