Geodesic
On Inequalities of Lieb--Thirring Type
Matematičeskie zametki, Tome 82 (2007) no. 4, pp. 504-514.

Voir la notice de l'article provenant de la source Math-Net.Ru

Applying the method proposed by Kashin for proving inequalities of Lieb–Thirring type for orthonormal systems, we prove a similar inequality in the multidimensional case.
Keywords: Lieb–Thirring inequalities, orthogonal series, orthonormal system of functions, normalized Lebesgue measure, Rademacher system. 
@article{MZM_2007_82_4_a3,
     author = {D. S. Barsegyan},
     title = {On {Inequalities} of {Lieb--Thirring} {Type}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {504--514},
     publisher = {mathdoc},
     volume = {82},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a3/}
}
TY  - JOUR
AU  - D. S. Barsegyan
TI  - On Inequalities of Lieb--Thirring Type
JO  - Matematičeskie zametki
PY  - 2007
SP  - 504
EP  - 514
VL  - 82
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a3/
LA  - ru
ID  - MZM_2007_82_4_a3
ER  - 
%0 Journal Article
%A D. S. Barsegyan
%T On Inequalities of Lieb--Thirring Type
%J Matematičeskie zametki
%D 2007
%P 504-514
%V 82
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a3/
%G ru
%F MZM_2007_82_4_a3
D. S. Barsegyan. On Inequalities of Lieb--Thirring Type. Matematičeskie zametki, Tome 82 (2007) no. 4, pp. 504-514. http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a3/

[1] E. Lieb, W. Thirring, “Inequalities for the moments of the eigenvalues of the Schrödinger hamiltonian and their relation to Sobolev inequalities”, Stud. Math. Phys., Essays in Honor of Valentine Bargmann, Princeton Univ. Press, Princeton, 1976, 269–303 | Zbl

[2] A. A. Ilin, “Integralnye neravenstva Liba–Tirringa i ikh prilozheniya k attraktoram uravnenii Nave–Stoksa”, Matem. sb., 196:1 (2005), 33–66 | MR | Zbl

[3] B. S. Kashin, “Ob odnom klasse neravenstv dlya ortonormirovannykh sistem”, Matem. zametki, 80:2 (2006), 204–208 | MR | Zbl

[4] B. S. Kashin, A. A. Saakyan, Ortogonalnye ryady, AFTs, M., 1999 | MR | Zbl

[5] S. M. Nikolskii, Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977 | MR | Zbl