Strichartz inequality for orthonormal functions associated with Dunkl Laplacian and Hermite-Schrödinger operators

Abstract

Strichartz inequality for the solutions of free Schrödinger equation associated with Dunkl Hermite operator $H_{\kappa }$ is generalized to any system of orthonormal functions with initial data. A relation between the kernels of Schrödinger propagators ($e^{-it{H}_{\kappa }}$ and $e^{it{\Delta }_{\kappa }}$) associated with the Dunkl Hermite and Dunkl Laplacian operators is established using which corresponding Schtrichartz inequality for orthonormal functions associated with Dunkl Laplacian is obtained.

arXiv commentarXiv admin note: text overlap with arXiv:2102.07383 by other authors