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

```@article{Guth2019ASS,
title={A sharp square function estimate for the cone in \\$\mathbb\{R\}^3\\$},
author={L. Guth and H. Wang and Ruixiang Zhang},
journal={arXiv: Classical Analysis and ODEs},
year={2019}
}```
• Published 2019
• Mathematics
• arXiv: Classical Analysis and ODEs
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.
4 Citations

#### References

SHOWING 1-10 OF 31 REFERENCES
The proof of the l2 decoupling conjecture
• Ann. of Math. (2)
• 2015
Small cap decouplings
• Mathematics
• 2019