论文标题
定量尺寸的无等仪不平等，用于分数高斯周长
A quantitative dimension free isoperimetric inequality for the fractional Gaussian perimeter
论文作者
论文摘要
我们证明使用扩展技术证明了高斯分数外围的定量等级不平等。尽管Fraenkel不对称的指数并不清晰，但不等式中出现的常数不取决于尺寸，而仅取决于集合的高斯体积和分数参数。
We prove a quantitative isoperimetric inequality for the Gaussian fractional perimeter using extension techniques. Though the exponent of the Fraenkel asymmetry is not sharp, the constant appearing in the inequality does not depend on the dimension but only on the Gaussian volume of the set and on the fractional parameter.
