112 citations · 190 across the 7 of their papers we have counts for
5 papers · 1 filter
A sparse domination principle for rough singular integrals
Jose M. Conde-Alonso, Amalia Culiuc, Francesco Di Plinio +1
We prove that bilinear forms associated to the rough homogeneous singular integrals on , where the angular part has vanishing average and $1…
Sparse Bounds for the Discrete Cubic Hilbert Transform
Amalia Culiuc, Robert Kesler, Michael T. Lacey
Consider the discrete cubic Hilbert transform defined on finitely supported functions on by \begin{eqnarray*} H_3f(n) = \sum_{m \not = 0} \frac{f(n- m^3)}{m}. \end…
Two weight estimates with matrix measures for well localized operators
Kelly Bickel, Amalia Culiuc, Sergei Treil +1
In this paper, we give necessary and sufficient conditions for weighted estimates with matrix-valued measures of well localized operators. Namely, we seek estimates of the fo…
Uniform sparse domination of singular integrals via dyadic shifts
Amalia Culiuc, Francesco Di Plinio, Yumeng Ou
Using the Calderón-Zygmund decomposition, we give a novel and simple proof that bounded dyadic shifts admit a domination by positive sparse forms with linear growth in the co…
Domination of multilinear singular integrals by positive sparse forms
Amalia Culiuc, Francesco Di Plinio, Yumeng Ou
We establish a uniform domination of the family of trilinear multiplier forms with singularity over a one-dimensional subspace by positive sparse forms involving -averages. Th…