Decoupling for certain quadratic surfaces of low co-dimensions

preprint2020arXivOpen access

We prove sharp $\ell^{p}L^{p}$ decoupling inequalities for $2$ quadratic forms in $4$ variables. We also recover several previous results (arXiv:1409.1634, arXiv:1501.07224, arXiv:1609.02022, arXiv:1609.04107) in a unified way.

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Decoupling for certain quadratic surfaces of low co-dimensions

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