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arXiv · 2109.13660

Lieb-Thirring inequalities and other functional inequalities for orthonormal systems

Rupert L. Frank
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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.

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BibTeXRIS

Rupert L. Frank. 2021-09-28. Lieb-Thirring inequalities and other functional inequalities for orthonormal systems. https://arxiv.org/abs/2109.13660

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