Compactification and decompactification by weights on Bergman spaces
Abstract
We characterize the symbols ϕ for which there exists a weight w such that the weighted composition operator M w C ϕ is compact on the weighted Bergman space B 2 α. We also characterize the symbols for which there exists a weight w such that M w C ϕ is bounded but not compact. We also investigate when there exists w such that M w C ϕ is Hilbert-Schmidt on B 2 α.
Domains
Functional Analysis [math.FA]| Origin | Files produced by the author(s) |
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