On Lieb-Thirring inequalities for higher order operators with critical and subcritical powers |
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| Authors: | Y. Netrusov T. Weidl |
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| Affiliation: | (1) School of Mathematical Sciences, University of Sussex at Brighton, BN1 9QH Brighton Falmers, UK;(2) Department of Mathematics, Royal Institute of Technology, S-10044 Stockholm, Sweden;(3) POMI, Fontanka 27, 191011 St. Petersburg, Russia |
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| Abstract: | ![]()
Let ϰ i (H l (V)) denote the negative eigenvalues of the operatorH l u≔(−Δ) l u−V≧0,x ℝ d onL 2(ℝ d ). We prove the two-sided estimate  . We discuss bounds on the Riesz means  . The first author was supported by the EPSRC grant GR/J 32084. The second author was supported byDeutsche Forschungsgemeinschaft grant We 1964-1. |
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