$\epsilon$-isometric dimension reduction for incompressible subsets of ${\ell }_p$

Alexandros Eskenazis

Fix $p\in [1,\infty )$, $K\in (0,\infty )$ and a probability measure $\mu$. We prove that for every $n\in \mathbb{N}$, $\epsilon \in (0,1)$ and $x_1,\dots ,x_n\in L_p(\mu )$ with $\big\| \m…