Soichiro Suzuki

collaborators

5 papers

math.CA2026

An order-interpolation inequality for Bessel functions

Soichiro Suzuki

We show that $J_{I^¼ + I^½} (r)^{2} < J_{I^½ - 1/2} (r)^{2} + J_{I^½ + 1/2} (r)^{2}$ holds whenever $I^¼ \in (- 1/2, 1/2)$ , $I^½ \in [0, \infty)$ , and $r \in (0, \infty)$ . In fact, we prove a stronger ve…

math.CA2026

Optimal constants of smoothing estimates for quantum harmonic oscillators

Soichiro Suzuki

We study optimal constants and extremizers of smoothing estimates for quantum harmonic oscillators. In particular, we establish harmonic oscillator analogues of free particle resul…

math.CA2026

Identities and inequalities for integral transforms involving squares of the Bessel functions

Soichiro Suzuki

We consider an integral transform given by $T_{I^} ½ f (s) := I ¨ \int_{0}^{\infty} r s J_{I^} ½ (r s)^{2} f (r) d r$ , where $J_{I^} ½$ denotes the Bessel function of the first kind of order $I^½$ . As sh…

math.AP2025

Optimal constants of smoothing estimates for the 3D Dirac equation

Makoto Ikoma, Soichiro Suzuki

Recently, Ikoma (2022) considered optimal constants and extremisers for the $2$ -dimensional Dirac equation using the spherical harmonics decomposition. Though its argument is valid…

math.AP2025

Optimal constants of smoothing estimates for the Dirac equation in arbitrary dimensions

Soichiro Suzuki

We give optimal constants of smoothing estimates for the $d$ -dimensional free Dirac equation for any $d \geq 2$ . Our main abstract theorem shows that the optimal constant $C$ of sm…