David Beltran

collaborators

3 papers

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

David Beltran, Paata Ivanisvili, José Madrid +1

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…