The Riesz transform of codimension smaller than one and the Wolff energy

Benjamin Jaye, Fedor Nazarov, Maria Carmen Reguera +1

Fix $d\ge 2$, and $s\in (d-1,d)$. We characterize the non-negative locally finite non-atomic Borel measures $\mu$ in ${\mathbb{R}}^d$ for which the associated $s$-Riesz transform is b…