20 citations · 67 across the 16 of their papers we have counts for
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Composition of Dyadic Paraproducts
Sandra Pott, Maria Carmen Reguera, Eric T. Sawyer +1
We obtain necessary and sufficient conditions to characterize the boundedness of the composition of dyadic paraproduct operators.
The Linear Bound for the Natural Weighted Resolution of the Haar Shift
Sandra Pott, Maria Carmen Reguera, Eric T. Sawyer +1
The Hilbert transform has a linear bound in the characteristic on weighted , \begin{equation*} \left\Vert H\right\Vert _{L^{2}(w)\rightarrow L^{2}(w)}\lesssim \left[…
On a sharp estimate for Hankel operators and Putnam's inequality
Jan-Fredrik Olsen, Maria Carmen Reguera
We obtain a sharp norm estimate for Hankel operators with anti-analytic symbol for weighted Bergman spaces. For the classical Bergman space, the estimate improves the corresponding…
Sarason Conjecture on the Bergman space
Alexandru Aleman, Sandra Pott, Maria Carmen Reguera
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 functi…