SPECTRAL AND FUNCTIONAL INEQUALITIES ON ANTISYMMETRIC FUNCTIONS (2025)
We obtain a number of spectral and functional inequalities related to Schr ̈odinger 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
Издание:
УФИМСКИЙ МАТЕМАТИЧЕСКИЙ ЖУРНАЛ
Выпуск:
Т. 17 № 1 (2025)