Hitoshi Tanaka

activity

20122017

most citedThe Fatou property of block spaces

68 citations · 78 across the 14 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.CA2014★ 1 cited

The trilinear embedding theorem

Hitoshi Tanaka

Let $σ_{i}$ , $i = 1, 2, 3$ , denote positive Borel measures on $R^{n}$ , let $D$ denote the usual collection of dyadic cubes in $R^{n}$ and let $K:\,\mathcal{D}\to[…

math.CA2014★ 3 cited

Two-weight norm inequalities on Morrey spaces

Hitoshi Tanaka

A description of all the admissible weights similar to the Muckenhoupt class $A_{p}$ is an open problem for the weighted Morrey spaces. In this paper necessary condition and sufficie…

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)…

math.CA2014★ 68 cited

The Fatou property of block spaces

Yoshihiro Sawano, Hitoshi Tanaka

Around thirty years ago, block spaces, which are the predual of Morrey spaces, had been considered. However, it seems that there is no proof that block spaces satisfy the Fatou pro…