Hiroki Saito

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math.FA2026

Multilinear embedding theorem for fractional sparse operators

Naoya Hatano, Ryota Kawasumi, Hiroki Saito +1

We show some simple sufficient conditions for which the multilinear embedding theorem holds for fractional sparse operators. By verifying these conditions, we establish the theorem…

math.FA2026

The Adams trace theorem for product Morrey spaces

Naoya Hatano, Ryota Kawasumi, Hiroki Saito +1

By using a Hedberg-type inequality, the Adams trace inequality is extended from Lebesgue spaces to product Morrey spaces.

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…