Sarason Conjecture on the Bergman Space
Copyright policy )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.
31 pages. This version of the paper includes a counterexample to the Sarason Conjecture in the Bergman space
- Lund University Sweden
- University of Birmingham United Kingdom
Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, 47B38, 30H20, 42C40, 42A61, 42A50, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV)
Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, 47B38, 30H20, 42C40, 42A61, 42A50, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV)
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