Akitoshi Hoshiya

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20232026

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math.AP2026

Modified wave operators are unbounded on $L^{p}$ for $p \neq = 2$

Akitoshi Hoshiya, Kouichi Taira

We study the $L^{p}$ -boundedness of Isozaki--Kitada type modified wave operators associated with Schrödinger operators $P = - \partial_{x}^{2} + V$ in one dimension for potentials $V$ inclu…

math.AP2026

Dispersive estimates for Schrödinger operators with negative Coulomb-like potentials in one dimension

Akitoshi Hoshiya, Kouichi Taira

In this paper, we consider the dispersive estimates for Schrödinger operators with Coulomb-like decaying potentials, such as $V (x) = - c ∣ x ∣^{- μ}$ for $∣ x ∣ ≫ 1$ with $0 < μ < 2$ , in one d…

Modified wave operators are unbounded on Lp for p=2

Dispersive estimates for Schrödinger operators with negative Coulomb-like potentials in one dimension

Modified wave operators are unbounded on $L^{p}$ for $p \neq = 2$