On the Schatten exponent in orthonormal Strichartz estimate for the Dunkl operators
Analysis of PDEs
2024-06-21 v1 Functional Analysis
Abstract
In \cite{PRA} and \cite{SSM} the orthonormal Strichartz estimates for the Schr\"odinger equation associated with the Dunkl Laplacian and the Dunkl-Hermite operator are obtained. In this article, we prove a necessary condition on the Schatten exponent for the above orthonormal Strichartz estimates, which turns out to be optimal for the Schr\"odinger equations associated with Laplacian and Hermite operator as a special case.
Keywords
Cite
@article{arxiv.2406.13456,
title = {On the Schatten exponent in orthonormal Strichartz estimate for the Dunkl operators},
author = {Sunit Ghosh and Jitendriya Swain},
journal= {arXiv preprint arXiv:2406.13456},
year = {2024}
}