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arXiv · 1304.1750

Sarason Conjecture on the Bergman space

Alexandru Aleman·Sandra Pott·Maria Carmen Reguera
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Abstract

We provide a counterexample to the Sarason Conjecture for the Bergman space and present a characterisation of bounded Toeplitz products on the Bergman space in terms of test functions by means of a dyadic model approach. We also present some results about two-weighted estimates for the Bergman projection. Finally, we introduce the class $B_{\infty}$ and give sharp estimates for the one-weighted Bergman projection.

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Alexandru Aleman, Sandra Pott, Maria Carmen Reguera. 2013-04-05. Sarason Conjecture on the Bergman space. https://arxiv.org/abs/1304.1750

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