Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011 Number 3, Pages 3–10
(Mi vmumm678)
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Mathematics
Possibility to strengthen the Lieb–Thirring inequality for systems of functions of special type
D. S. Barsegyan Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
A strengthening of the Lieb–Thirring inequality for systems of functions of special type is proved by the standard Fourier technique.
Key words:
Lieb–Thirring inequality, Rademacher's system, Littlewood–Paley's inequality, Fourier transform, orthonormal systems.
UDC:
517.518.36 Received: 01.03.2010
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