2 problems

Let $S$ be a smooth hypersurface in $\mathbb{R}^{n+1}$, let $\phi$ be a smooth cutoff function on $\mathbb{R}^{n+1}$, let $\mu$ be the Euclidean surface measure on $S$, and define…

Let $S$ be a smooth compact surface in any dimension, let $\phi(x,y)=1$, and let $M$ denote the associated maximal averaging operator. For a hyperplane $H$ not passing through the…