Critical local smoothing for the three-dimensional wave equation

Yes: ||e^{it sqrt(-Delta)} f||_{L^3(R^3 x [1,2])} <= C_eps ||(1-Delta)^{eps/2} f||_3 for every eps > 0, and hence for every 2 < p < infinity the bound with alpha > max{0, 1-3/p} derivatives, which gives AIM's annular estimate for every 3 <= p < infinity, eps > 0 and lambda >= 1..