David Beltran

collaborators

4 papers

math.CA2026

Spherical maximal operators with fractal sets of dilations on radial functions

David Beltran, Joris Roos, Andreas Seeger

For a given set of dilations $E \subset [1, 2]$ , Lebesgue space mapping properties of the spherical maximal operator with dilations restricted to $E$ are studied when acting on radia…

math.CA2026

A lower bound for a variation norm operator associated with circular means

David Beltran, Anthony Carbery, Luz Roncal +1

We prove that a local $L^{p} (V_{2})$ variation norm estimate fails for circular means in two dimensions, and quantify this failure by proving lower bounds for functions of exponential…

math.CA2025

Optimal Young's convolutions inequality and its reverse form on the hypercube

We establish sharp forms of Young's convolution inequality and its reverse on the discrete hypercube ${0, 1}^{d}$ in the diagonal case $p = q$ . As applications, we derive bounds for a…

math.CA2025

A fractal local smoothing problem for the wave equation

David Beltran, Joris Roos, Alex Rutar +1

For any given set $E \subset [1, 2]$ , we discuss a fractal frequency-localized version of the $L^{p}$ local smoothing estimates for the half-wave propagator with times in $E$ . A conjec…