Abstract
It is shown that control of the Schrödinger maximal function sup0 <t<1 ǀe itΔ fǀ for f ∈ H s(Rn) requires s ≥ n/2(n + 1).
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The author was partially supported by NSF grants DMS-1301619.
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Bourgain, J. A note on the Schrödinger maximal function. JAMA 130, 393–396 (2016). https://doi.org/10.1007/s11854-016-0042-8
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DOI: https://doi.org/10.1007/s11854-016-0042-8