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

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3 papers · 1 filter

math.CA2017

The Fefferman-Stein type inequalities for the multilinear strong maximal functions

Juan Zhang, Hiroki Saito, Qingying Xue

Let $ω = (ω_{1}, ..., ω_{m})$ be a multiple weight and ${Ψ_{j}}_{j = 1}^{m}$ be a sequence of Young functions. Let $M_{R}^{Ψ}$ be the multilinear strong ma…

math.CA2016★ 2 cited

The Fefferman-Stein type inequalities for strong and directional maximal operators in the plane

Hiroki Saito, Hitoshi Tanaka

The Fefferman-Stein type inequalities for strong maximal operator and directional maximal operator are verified with composition of the Hardy-Littlewood maximal operator in the pla…

math.CA2014

The Kakeya maximal operator on the variable Lebesgue spaces

Hiroki Saito, Hitoshi Tanaka

We shall verify the Kakeya (Nikodym) maximal operator $K_{N}$ , $N ≫ 1$ , is bounded on the variable Lebesgue space $L^{p (\cdot)} (R^{2})$ when the exponent function $p(\cdot)…