Choquet integrals, Hausdorff content and fractional operators

Naoya Hatano, Ryota Kawasumi, Hiroki Saito +1

It is shown that the fractional integral operator $I_{\alpha }$, $0<\alpha <n$, and the fractional maximal operator $M_{\alpha }$, $0\le \alpha <n$, are bounded on weak Choquet spaces with respect to Hausdorff…