112 citations · 190 across the 7 of their papers we have counts for
4 papers · 2 filters
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…
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…