Composition Operators on Small Spaces
✍ Scribed by Boo Rim Choe; Hyungwoon Koo; Wayne Smith
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2006
- Tongue
- English
- Weight
- 298 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let , be analytic functions defined on ,ބ such that ބ : .ބ The operator Ž . given by f ¬ f ( is called a weighted composition operator. In this paper we deal with the boundedness, compactness, weak compactness, and complete continu-Ž . ity of weighted composition operators on Hardy spaces H 1
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