Sarason Conjecture on the Bergman space
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Colleges, School and Institutes
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∞ and give sharp estimates for the one-weighted Bergman projection.
|Number of pages||30|
|Journal||International Mathematics Research Notices|
|Early online date||11 Jul 2016|
|Publication status||Published - Jul 2017|