David Beltran

activity

20242026

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2 papers · 1 filter

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…