A sharp square function estimate for the cone in $\mathbb{R}^3$

preprint2020arXivOpen access

We prove a sharp square function estimate for the cone in $\mathbb{R}^3$ and consequently the local smoothing conjecture for the wave equation in $2+1$ dimensions.

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A sharp square function estimate for the cone in $\mathbb{R}^3$

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A sharp square function estimate for the cone in R3\mathbb{R}^3R3

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A sharp square function estimate for the cone in $\mathbb{R}^3$