Fractional maximal operators with weighted Hausdorff content

Hiroki Saito, Hitoshi Tanaka, Toshikazu Watanabe

Let $n\ge 2$ be the spatial dimension. The purpose of this note is to obtain some weighted estimates for the fractional maximal operator $\mathfrak{M}\alpha$ of order $\alpha$, $0\le \alpha <n$, o…