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Closed-Range Composition Operators on Weighted Bergman Spaces

✍ Scribed by John R. Akeroyd; Shanda R. Fulmer

Publisher
SP Birkhäuser Verlag Basel
Year
2011
Tongue
English
Weight
249 KB
Volume
72
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES

Closed range multiplication operators on
Closed range multiplication operators on weighted Bergman spaces
✍ Kinga Cichoń 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 207 KB

Let be a bounded analytic function on a simply connected domain ⊆ C. For a large family of weights we characterize when a pointwise multiplication operator M , M (f )(z)= (z)f (z), defined on a weighted Bergman space A p w ( ) on has closed range. In particular, the result holds for weights w(z) = (

Bounded Composition Operators on Weighte
Bounded Composition Operators on Weighted Bergman Spaces
✍ Matthew M. Jones 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 131 KB

Providence) concerning bounded composition operators on weighted Bergman spaces of the unit disk. The main result is the following: if G i = e -h i for i = 1 2 are weight functions in a certain range for which h 1 r /h 2 r → ∞ as r → 1 then there is a self-map of the unit disk such that the induced