112 citations · 190 across the 7 of their papers we have counts for
9 papers
Endpoint sparse bounds for Walsh-Fourier multipliers of Marcinkiewicz type
Wei Chen, Amalia Culiuc, Francesco Di Plinio +2
We prove endpoint-type sparse bounds for Walsh-Fourier Marcinkiewicz multipliers and Littlewood-Paley square functions. These results are motivated by conjectures of Lerner in the…
A sparse estimate for multisublinear forms involving vector-valued maximal functions
Amalia Culiuc, Francesco Di Plinio, Yumeng Ou
We prove a sparse bound for the -sublinear form associated to vector-valued maximal functions of Fefferman-Stein type. As a consequence, we show that the sparse bounds of multis…
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…
The Carleson Embedding Theorem with matrix weights
Amalia Culiuc, Sergei Treil
In this paper we prove the weighted martingale Carleson Embedding Theorem with matrix weights both in the domain and in the target space.
A note on two weight bounds for the generalized Hardy-Littlewood Maximal operator
Amalia Culiuc
We give a straighforward proof of the two weight estimates of the generalized maximal operator under Sawyer type testing conditions. The proof relies on the Martingale Carleson Emb…