G. Rey

activity

20132026

most citedA pointwise estimate for positive dyadic shifts and some applications

75 citations · 118 across the 9 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.CA2026

Improved weighted bounds for the strong maximal function

Sheldy Ombrosi, Guillermo Rey

We improve the exponents of the $A_{p}$ constant in the strong and weak-type weighted bounds for the strong maximal function, for every $1 < p < \infty$ and every dimension $d \geq 2$ …

math.CA2026

An antichain approach to a conjecture of Zygmund

Guillermo Rey

An antichain is a family of rectangles in which no member contains another. Given a family $E$ of rectangles, let $h_{E}$ be the sum of the indicator functions…

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…

Improved weighted bounds for the strong maximal function

An antichain approach to a conjecture of Zygmund

Pairwise meets of antichains in Zd

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