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

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4 papers · 1 filter

math.FA2017

Fractional maximal operators with weighted Hausdorff content

Hiroki Saito, Hitoshi Tanaka, Toshikazu Watanabe

Let $n \geq 2$ be the spatial dimension. The purpose of this note is to obtain some weighted estimates for the fractional maximal operator $M α$ of order $α$ , $0 \leq α < n$ , o…

math.FA2017

The $n$ -linear embedding theorem for dyadic rectangles

Hitoshi Tanaka, Kozo Yabuta

Let $\sg_i$, $i = 1, \dots, n$ , denote reverse doubling weights on $R^{d}$ , let $\cdr(\R^d)$ denote the set of all dyadic rectangles on $R^{d}$ (Cartesian products of usual dyadic inter…

math.FA2016

Fractional operators on weighted Morrey spaces

Shohei Nakamura, Yoshihiro Sawano, Hitoshi Tanaka

A necessary condition and a sufficient condition for one weight norm inequalities on Morrey spaces to hold are given for the fractional maximal operator and the fractional integral…

math.FA2016★ 1 cited

Equivalent norms for the Morrey spaces with non-doubling measures

Hitoshi Tanaka, Yoshihiro Sawano

In this paper under some growth condition we investigate the connection between RBMO and the Morrey spaces. We do not assume the doubling condition which has been a key property of…

Fractional maximal operators with weighted Hausdorff content

The n-linear embedding theorem for dyadic rectangles

Fractional operators on weighted Morrey spaces

Equivalent norms for the Morrey spaces with non-doubling measures

The $n$ -linear embedding theorem for dyadic rectangles