Orthonormal Strichartz estimates for Dunkl-Schrödinger equation of initial data with Sobolev regularity

Let ${\mathrm{\Delta }}_{\kappa }$ be the Dunkl-Laplacian on ${\mathbb{R}}^n$. The main aim of this paper is to investigate the orthonormal Strichartz estimates for the Schrödinger equation with initial data from the homogeneous Dunkl-Sobolev space ${\dot{H}}_{\kappa }^s({\mathbb{R}}^n)$. Our approach is based on restricted weak-type orthonormal estimates, frequency-localized estimates for the Dunkl-Schrödinger propagator $e^{it{\mathrm{\Delta }}_{\kappa }}$, and a series of successive real and complex interpolation techniques.