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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.
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Preprints, Working Papers, ...
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https://hal-univ-artois.archives-ouvertes.fr/hal-03277079
Contributor : Daniel Li Connect in order to contact the contributor
Submitted on : Wednesday, July 7, 2021 - 12:30:41 PM
Last modification on : Saturday, May 7, 2022 - 3:31:20 AM
Long-term archiving on: : Friday, October 8, 2021 - 6:02:52 PM

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  • HAL Id : hal-03277079, version 1
  • ARXIV : 2107.03208

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Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza. Compactification and decompactification by weights on Bergman spaces. 2021. ⟨hal-03277079⟩

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