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arXiv · 2107.03208

Compactification and decompactification by weights on Bergman spaces

Pascal Lefèvre·Daniel Li·Hervé Queffélec·Luis Rodriguez-Piazza
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Abstract

We characterize the symbols $\Phi$ for which there exists a weight w such that the weighted composition operator M w C $\Phi$ is compact on the weighted Bergman space B 2 $\alpha$. We also characterize the symbols for which there exists a weight w such that M w C $\Phi$ is bounded but not compact. We also investigate when there exists w such that M w C $\Phi$ is Hilbert-Schmidt on B 2 $\alpha$.

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Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza. 2021-07-07. Compactification and decompactification by weights on Bergman spaces. https://arxiv.org/abs/2107.03208

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