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Paper detail

Sarason Conjecture on the Bergman space

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.

preprint2013arXivOpen access
Alexandru AlemanSandra PottMaria Carmen Reguera
math.CVmath.CA
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Alexandru AlemanSandra PottMaria Carmen Reguera

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