English

Sharp estimates for maximal operators associated to the wave equation

Classical Analysis and ODEs 2009-11-13 v1 Analysis of PDEs

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).

Keywords

Cite

@article{arxiv.0710.0156,
  title  = {Sharp estimates for maximal operators associated to the wave equation},
  author = {Keith Rogers and Francisco Villarroya},
  journal= {arXiv preprint arXiv:0710.0156},
  year   = {2009}
}

Comments

7 pages, 1 figure

R2 v1 2026-06-21T09:24:13.329Z