Nicholas Boros

most citedPerturbation of Burkholder's martingale transform and Monge--Ampère equation

2 citations · 3 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2013★ 1 cited

Matrix weights, Littlewood Paley inequalities and the Riesz transforms

Nicholas Boros, Nikolaos Pattakos

We discuss weighted estimates for the squares of the Riesz transforms, R^{2}, on L^{2}(W) where W is a matrix A2 weight. We prove that if W is close to the Identity matrix Id, then…

math.PR2011★ 2 cited

Perturbation of Burkholder's martingale transform and Monge--Ampère equation

Nicholas Boros, Prabhu Janakiraman, Alexander Volberg

Let ${d_{k}}_{k \geq 0}$ be a complex martingale difference in $L^{p} [0, 1],$ where $1 < p < \infty,$ and $\{\e_k\}_{k \geq 0}$ a sequence in ${\pm 1} .$ We obtain the following generali…