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A note on the Schrödinger maximal function

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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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References

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Authors and Affiliations

  1. Institute for Advanced Study, Princeton, NJ, 08540, USA

    J. Bourgain

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  1. J. Bourgain
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Correspondence to J. Bourgain.

Additional information

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

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