2 problems

Let $f:\mathbb{R}^n\to\mathbb{R}_+$ be an integrable even log-concave function. With $f_1(x)=e^{-\sum_{i=1}^n|x_i|}$ and $f_\infty(x)=\chi_{[-1,1]^n}(x)$, even functional strong sl…

Let $L_f$, $\widetilde{L}_f$, and $\widehat{L}_f$ be the three functional isotropic constants defined for integrable centered log-concave functions. Define … Functional strong slic…