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Bounded Composition Operators on Weighted Bergman Spaces

✍ Scribed by Matthew M. Jones

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
131 KB
Volume
256
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 composition operator C ϕ maps A 2 G 2 boundedly into itself but does not map A 2 G 1 into itself.

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