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Sharp interpolation inequalities for discrete operators
Journal article   Peer reviewed

Sharp interpolation inequalities for discrete operators

SV Zelik, AA Ilyin and AA Laptev
DOKLADY MATHEMATICS, Vol.91(2), pp.215-219
01/03/2015

Abstract

Science & Technology Physical Sciences Mathematics LIEB-THIRRING INEQUALITIES Mathematics
We consider the imbeddings of the l 2 sequence spaces defined on ddimensional lattices into the spaces written as interpolation inequalities between the l 2 norm of a sequence and its difference. A general method is developed for finding sharp constants, extremal elements and possible correction terms in this type of inequalities. Applications to the spectral theory of discrete Schrödinger operator are given.
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