Hiroki Saito

activity

20142026

most citedChoquet integrals, Hausdorff content and fractional operators

5 citations · 7 across the 8 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.FA2023

Choquet integrals, Hausdorff content and sparse operators

Naoya Hatano, Ryota Kawasumi, Hiroki Saito +1

Let $H^{d}$ , $0 < d < n$ , be the dyadic Hausdorff content of the $n$ -dimensional Euclidean space $R^{n}$ . It is shown that $H^{d}$ counts a~Cantor set of the unit cube $[0, 1)^{n}$ a…

math.FA2023★ 5 cited

Choquet integrals, Hausdorff content and fractional operators

Naoya Hatano, Ryota Kawasumi, Hiroki Saito +1

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