Spectral and functional inequalities on antisymmetric functions
Ключевые слова:
Schrödinger operators, Lieb - Thirring and Cwikel - Lieb - Rozenblum inequalities, Sobolev and Hardy inequatilies, antisymmetric functionsАннотация
We obtain a number of spectral and functional inequalities related to Schrödinger operators defined on antisymmetric functions. Among them are Lieb —Thirring and CLR inequalities. Besides, we find new constants for the
Sobolev and the Gagliardo — Nirenberg inequalities restricted to antisymmetric functions.
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Опубликован
26.03.2025
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