76 citations · 360 across the 60 of their papers we have counts for
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A geometric condition, necessity of energy, and two weight boundedness of fractional Riesz transforms
Eric T. Sawyer, Chun-Yen Shen, Ignacio Uriarte-Tuero
We prove that the energy conditions in arXiv:1302.5093v7 are implied by the fractional A2 conditions and testing conditions for the vector of fractional Riesz transforms when one m…
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[…
A two weight theorem for fractional singular integrals in higher dimension
Eric T. Sawyer, Chun-Yen Shen, Ignacio Uriarte-Tuero
We prove a two weight theorem for alpha-fractional singular integrals in higher dimensions, assuming energy side conditions. We also show that reversal of the Energy Lemma fails fo…
A two weight theorem for fractional singular integrals with an energy side condition and quasicube testing
Eric T. Sawyer, Chun-Yen Shen, Ignacio Uriarte-Tuero
We prove a two weight theorem for fractional singular integrals in higher dimensions assuming energy side conditions on the weights. The testing conditions are taken over quasicube…