Sharp estimates for maximal operators associated to the wave equation
arXiv:0710.0156 · doi:10.1007/s11512-007-0063-8
Abstract
We give almost sharp conditions under which the maximal operator associated with the wave equation with initial data in Sobolev space H^s(R^n) is bounded from H^s(R^n) to L^q(R^n).
7 pages, 1 figure