Applications of Inequalities of Lieb--Thirring Type to Spectral Theory
Matematičeskie zametki, Tome 88 (2010) no. 2, pp. 173-177.

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

Inequalities of Lieb–Thirring type are established. Applications of these inequalities to estimates of the spectrum of unbounded operators are given.
Keywords: Lieb–Thirring inequalities, spectral theory of operators, unbounded operator, Laplace operator
Mots-clés : Legendre transformation.
@article{MZM_2010_88_2_a1,
     author = {D. S. Barsegyan},
     title = {Applications of {Inequalities} of {Lieb--Thirring} {Type} to {Spectral} {Theory}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {173--177},
     publisher = {mathdoc},
     volume = {88},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a1/}
}
TY  - JOUR
AU  - D. S. Barsegyan
TI  - Applications of Inequalities of Lieb--Thirring Type to Spectral Theory
JO  - Matematičeskie zametki
PY  - 2010
SP  - 173
EP  - 177
VL  - 88
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a1/
LA  - ru
ID  - MZM_2010_88_2_a1
ER  - 
%0 Journal Article
%A D. S. Barsegyan
%T Applications of Inequalities of Lieb--Thirring Type to Spectral Theory
%J Matematičeskie zametki
%D 2010
%P 173-177
%V 88
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a1/
%G ru
%F MZM_2010_88_2_a1
D. S. Barsegyan. Applications of Inequalities of Lieb--Thirring Type to Spectral Theory. Matematičeskie zametki, Tome 88 (2010) no. 2, pp. 173-177. http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a1/

[1] D. S. Barsegyan, “O vozmozhnosti usileniya neravenstva Liba–Tirringa”, Matem. zametki, 86:6 (2009), 803–818

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

[3] E. H. Lieb, W. E. Thirring, “Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities”, Studies in Mathematical Physics. Essays in Honor of Valentine Bargmann, Princeton Univ. Press, Princeton, NJ, 1976, 269–303 | Zbl

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

[5] S. V. Astashkin, “Neravenstvo Liba–Tirringa dlya $L_p$-norm”, Matem. zametki, 83:2 (2008), 163–169 | MR | Zbl

[6] A. M. Molchanov, “Ob usloviyakh diskretnosti spektra samosopryazhennykh differentsialnykh operatorov vtorogo poryadka”, Trudy MMO, 2, Izd-vo Mosk. un-ta, M., 1953, 169–199 | MR | Zbl

[7] Matematicheskaya entsiklopediya, v. 3, Koo – Od, Sovetskaya entsiklopediya, M., 1982 | MR | Zbl