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math.CA2013
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.
math.CA2013
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[…
math.CA2013
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…