José Madrid

activity

20142026

most citedDerivative bounds for fractional maximal functions

83 citations · 156 across the 27 of their papers we have counts for

collaborators

Showing 2021Show all

5 papers · 1 filter

math.CO2021★ 1 cited

Additive energies on discrete cubes

Jaume de Dios Pont, Rachel Greenfeld, Paata Ivanisvili +1

We prove that for $d \geq 0$ and $k \geq 2$ , for any subset $A$ of a discrete cube ${0, 1}^{d}$ , the $k -$ higher energy of $A$ (the number of $2 k -$ tuples $(a_{1}, a_{2}, \dots, a_{2 k})$ in $A…

math.DS2021★ 1 cited

Generalized Collatz Maps with Almost Bounded Orbits

Felipe Gonçalves, Rachel Greenfeld, Jose Madrid

If dividing by $p$ is a mistake, multiply by $q$ and translate, and so you'll live to iterate. We show that if we define a Collatz-like map in this form then, under suitable condit…

math.CA2021

On classical inequalities for autocorrelations and autoconvolutions

Jaume de Dios Pont, José Madrid

In this paper we study an autocorrelation inequality proposed by Barnard and Steinerberger. The study of these problems is motivated by a classical problem in additive combinatoric…

math.CA2021

Continuity of the gradient of the fractional maximal operator on $W^{1, 1} (R^{d})$

David Beltran, Cristian González-Riquelme, José Madrid +1

We establish that the map $f \mapsto ∣\nabla M_{α} f ∣$ is continuous from $W^{1, 1} (R^{d})$ to $L^{q} (R^{d})$ , where $α \in (0, d)$ , $q = \frac{d}{d - α}$ and $\mathca…

math.DS2021

An uncountable ergodic Roth theorem and applications

Polona Durcik, Rachel Greenfeld, Annina Iseli +2

We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed to be countable and the space need not be separable. This generalizes a previous…

Additive energies on discrete cubes

Generalized Collatz Maps with Almost Bounded Orbits

On classical inequalities for autocorrelations and autoconvolutions

Continuity of the gradient of the fractional maximal operator on W1,1(Rd)

An uncountable ergodic Roth theorem and applications

Continuity of the gradient of the fractional maximal operator on $W^{1, 1} (R^{d})$