T. Iwabuchi

most citedThe semigroup generated by the Dirichlet Laplacian of fractional order

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.AP2017★ 1 cited

The semigroup generated by the Dirichlet Laplacian of fractional order

Tsukasa Iwabuchi

In the whole space $R^{d}$ , linear estimates for heat semi-group in Besov spaces are well established, which are estimates of $L^{p}$ - $L^{q}$ type, maximal regularity, e.t.c. Thi…

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

$L^{p}$ -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…

The semigroup generated by the Dirichlet Laplacian of fractional order

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 $R^{d}$