Square functions of fractional homogeneity and Wolff potentials

Vasileios Chousionis, Laura Prat, Xavier Tolsa

In this paper it is shown that for anymeasure $\mu$ in ${\mathbb{R}}^d$ and for a non-integer $0<s<d$, the Wolff energy $\displaystyle{\iint_0^\infty(\frac{μ(B(x,r))}{r^s})^2\,\frac{dr…