Endpoint maximal estimates for the half-wave propagator

Bowen An, Wenjuan Li, Huiju Wang

We present a proof of the strong maximal estimate for the Euclidean half-wave propagator at the critical pair $s_d=d/(d+1)$ and $q_d=2(d+1)/(d-1)$, in every dimension $d\ge 2$, i.e.…