Remark: Family 077. Fourier restriction for positively curved surfaces

Proves the diagonal Fourier extension conjecture for positively curved surfaces in three dimensions. For every compact smooth positively curved surface $\Sigma \subset {\mathbb{R}}^3$, including surfaces with boundary, the extension operator is bounded from $L^p(\Sigma )$ to $L^p({\mathbb{R}}^3)$ for every $p>3$.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.