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
C∗-algebras of multiplication operators on Bergman spaces
✍ Scribed by Raul E Curto; Paul S Muhly
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 788 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0022-1236
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We show that ``Toeplitz like'' operators of the form T s u f=P s (uf ), where P s is a weighted Bergman projection, are bounded on the Hardy spaces H p , for 1 p< for certain ``symbols'' u defined on the unit disk. In particular, T s u is bounded if u is of the form u=h+G+ where h is a bounded harmo
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