Geodesic
Hardy inequality for antisymmetric functions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 2, pp. 55-64

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We consider Hardy inequalities on antisymmetric functions. Such inequalities have substantially better constants. We show that they depend on the lowest degree of an antisymmetric harmonic polynomial. This allows us to obtain some Caffarelli–Kohn–Nirenberg-type inequalities that are useful for studying spectral properties of Schrödinger operators. 
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     author = {T. Hoffmann-Ostenhof and A. A. Laptev},
     title = {Hardy inequality for antisymmetric functions},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {55--64},
     publisher = {mathdoc},
     volume = {55},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2021_55_2_a4/}
}
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T. Hoffmann-Ostenhof; A. A. Laptev. Hardy inequality for antisymmetric functions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 2, pp. 55-64. http://geodesic.mathdoc.fr/item/FAA_2021_55_2_a4/