Lieb-Thirring inequalities and other functional inequalities for orthonormal systems
Functional Analysis
2021-09-29 v1 Mathematical Physics
Analysis of PDEs
Classical Analysis and ODEs
math.MP
Abstract
We review recent results on functional inequalities for systems of orthonormal functions. The key finding is that for various operators the orthonormality leads to a gain over a simple application of the triangle inequality. The operators under consideration are either related to Sobolev type inequalities or to Fourier restriction type inequalities.
Keywords
Cite
@article{arxiv.2109.13660,
title = {Lieb-Thirring inequalities and other functional inequalities for orthonormal systems},
author = {Rupert L. Frank},
journal= {arXiv preprint arXiv:2109.13660},
year = {2021}
}
Comments
18 pages; submitted to the proceedings of ICM 2022