Hardy and Sobolev inequalities on antisymmetric functions

Autor:	Th. Hoffmann-Ostenhof, A. Laptev, I. Shcherbakov
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Hardy inequalities antisymmetric functions Sobolev inequalities Caffarelli–Kohn–Nirenberg inequality Mathematics QA1-939
Zdroj:	Bulletin of Mathematical Sciences, Vol 14, Iss 01 (2024)
Druh dokumentu:	article
ISSN:	16643607 1664-3615 1664-3607
DOI:	10.1142/S1664360723500108
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4a5cfff9950b40438cfe37b170ea8168 Zobrazit plný text záznamu View record in DOAJ