论文标题
Bakry-Ledoux等等不平等的定量估计值。 ii
Quantitative estimates for the Bakry-Ledoux isoperimetric inequality. II
论文作者
论文摘要
同意对加权的riemannian流形的量化等级，满足$ \ mathrm {ric} _ {\ infty} \ ge 1 $，我们给出了$ l^1 $ estimate的展览，表明指导函数的参考度量（从针术中引起）是接近尺度的参考度量。我们还显示$ l^p $ - 和$ w_2 $ - 估计$ 1 $维度的情况。
Concerning quantitative isoperimetry for a weighted Riemannian manifold satisfying $\mathrm{Ric}_{\infty} \ge 1$, we give an $L^1$-estimate exhibiting that the push-forward of the reference measure by the guiding function (arising from the needle decomposition) is close to the Gaussian measure. We also show $L^p$- and $W_2$-estimates in the $1$-dimensional case.
