This article is cited in 2 papers

On Inequalities of Lieb–Thirring Type

D. S. Barsegyan

Yerevan State University

Abstract: 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.

UDC: 517.5

Received: 29.01.2007
Revised: 30.05.2007

DOI: 10.4213/mzm4018

 English version: Mathematical Notes, 2007, 82:4, 451–460

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