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Hardy and Sobolev inequalities on antisymmetric functions.
- Source :
- Bulletin of Mathematical Sciences (World Scientific); Apr2024, Vol. 14 Issue 1, p1-18, 18p
- Publication Year :
- 2024
-
Abstract
- We obtain sharp Hardy inequalities on antisymmetric functions, where antisymmetry is understood for multi-dimensional particles. Partially it is an extension of the paper [Th. Hoffmann-Ostenhof and A. Laptev, Hardy inequalities with homogeneous weights, J. Funct. Anal. 268 (2015) 3278–3289], where Hardy's inequalities were considered for the antisymmetric functions in the case of the 1D particles. As a byproduct we obtain some Sobolev and Gagliardo–Nirenberg type inequalities that are applied to the study of spectral properties of Schrödinger operators. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16643607
- Volume :
- 14
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Bulletin of Mathematical Sciences (World Scientific)
- Publication Type :
- Academic Journal
- Accession number :
- 176912159
- Full Text :
- https://doi.org/10.1142/S1664360723500108