G. Rey

works on

antichain 1 dyadic rectangles 1 maximal operators 1 sparse families 1 Zygmund conjecture 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.CA2026

An antichain approach to a conjecture of Zygmund

Guillermo Rey

The paper proves exponential integrability for sparse antichains of dyadic rectangles and uses this to settle a dyadic version of Zygmund's conjecture in three dimensions and to ob…

math.CO2026

Pairwise meets of antichains in $Z^{d}$

Guillermo Rey

The meet of two points in $Z^{d}$ is their coordinatewise minimum. We show that every finite antichain $A$ in $Z^{d}$ has at least $c_{d} ∣ A ∣^{d / (d - 1)}$ distinct pairwi…

math.PR2025

Merryfield's inequality for multiparameter martingales

Guillermo Rey

We extend an inequality of Merryfield, valid in the continuous setting, to discrete multiparameter martingales. As a consequence, we obtain the $L^{p}$ comparison of the maximal func…

An antichain approach to a conjecture of Zygmund

Pairwise meets of antichains in Zd

Merryfield's inequality for multiparameter martingales

Pairwise meets of antichains in $Z^{d}$