A note on the Schrödinger maximal function

  title={A note on the Schr{\"o}dinger maximal function},
  author={Jean Bourgain},
  journal={Journal d'Analyse Math{\'e}matique},
  • J. Bourgain
  • Published 19 September 2016
  • Mathematics
  • Journal d'Analyse Mathématique
It is shown that control of the Schrödinger maximal function sup0 <t<1 ǀeitΔfǀ for f ∈ Hs(Rn) requires s ≥ n/2(n + 1). 
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    Mathematical Proceedings of the Cambridge Philosophical Society
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