T. Iwabuchi

activity

20152025

most cited

L^{p}

-mapping properties for Schrödinger operators in open sets of

R^{d}

3 citations · 11 across the 21 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.FA2022

Sobolev spaces on arbitrary domains and semigroups generated by fractional Laplacian

Reinhard Farwig, Tsukasa Iwabuchi

We describe a procedure to introduce Sobolev spaces and the semigroup generated by the fractional Dirichlet Laplacian on an arbitrary domain of $R^{d}$ . In particular, the well-defi…

math.FA2017★ 1 cited

Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian

Tsukasa Iwabuchi, Tokio Matsuyama, Koichi Taniguchi

The purpose of this paper is to establish bilinear estimates in Besov spaces generated by the Dirichlet Laplacian on a domain of Euclidian spaces. These estimates are proved by usi…

math.FA2016

Besov spaces on open sets

Tsukasa Iwabuchi, Tokio Matsuyama, Koichi Taniguchi

This paper is devoted to giving definitions of Besov spaces on an arbitrary open set of $R^{n}$ via the spectral theorem for the Schrödinger operator with the Dirichlet bound…

math.FA2016★ 3 cited

$L^{p}$ -mapping properties for Schrödinger operators in open sets of $R^{d}$

T. Iwabuchi, T. Matsuyama, K. Taniguchi

Let $H_{V} = - Δ + V$ be a Schrödinger operator on an arbitrary open set $Ω$ of $R^{d}$ , where $d \geq 3$ , and $Δ$ is the Dirichlet Laplacian and the potential $V$ belongs to the Ka…

Sobolev spaces on arbitrary domains and semigroups generated by fractional Laplacian

Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian

Besov spaces on open sets

Lp-mapping properties for Schrödinger operators in open sets of Rd

$L^{p}$ -mapping properties for Schrödinger operators in open sets of $R^{d}$