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arxiv: 1609.05744 · v1 · submitted 2016-09-19 · 🧮 math.NT

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A note on the Schrodinger maximal function

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classification 🧮 math.NT
keywords maximalschrodingercontroldeltafracfunctionfunctionsmathbb
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It is shown that control of the Schrodinger maximal functions $\sup_{0<t<1}|e^{it\Delta} f|$ for $f\in H^s(\mathbb R^n)$ requires $s\geq \frac n{2(n+1)}$

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