On Wolff's $L^{\frac{5}{2}}-$Kakeya maximal inequality in ${\mathbb{R}}^3$

Changxing Miao, Jianwei Yang, Jiqiang Zheng

We reprove Wolff's $L^{\frac{5}{2}}-$ bound for the ${\mathbb{R}}^3-$Kakeya maximal function without appealing to the argument of induction on scales. The main ingredient in our proof is an ad…