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Spectral and functional inequalities for antisymmetric functions
https://doi.org/10.26907/0021-3446-2025-2-104-109
Abstract
A number of spectral and functional inequalities related to Schrödinger operators defined on antisymmetric functions is presented. Among them are Hardy and Sobolev inequalities, Lieb-Thirring and CLR inequalities.
About the Authors
A. A. Laptev
Imperial College London; Sirius Mathematics Center, Sirius University of Science and Technology
United Kingdom
United Kingdom
Ari A. Laptev.
180 Queen’s Gate, London SW7 2AZ; 1 Olympic Ave., Sochi, 354340
I. A. Shcherbakov
Sirius Mathematics Center, Sirius University of Science and Technology
Russian Federation
Russian Federation
Ilia A. Shcherbakov.
1 Olympic Ave., Sochi, 354340
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Review
For citations:
Laptev A.A., Shcherbakov I.A. Spectral and functional inequalities for antisymmetric functions. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2025;(2):104-109. (In Russ.) https://doi.org/10.26907/0021-3446-2025-2-104-109
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