Decouplings for three-dimensional surfaces in ${\mathbb{R}}^6$

Abstract

We obtain the sharp $l^p$ decoupling for three-dimensional nondegenerate surfaces in ${\mathbb{R}}^6$. This can be thought of as a generalization of Bourgain and Demeter's result, which is the sharp $l^p$ decoupling for two-dimensional nondegenerate surfaces in ${\mathbb{R}}^4$.

To appear in Mathematische Zeitschrift

Cited by in corpus (3)

• Decoupling for certain quadratic surfaces of low co-dimensions
• Decoupling inequalities for quadratic forms
• Fourier decay of fractal measures on surfaces of co-dimension two in ${\mathbb{R}}^5$