Sharp interpolation inequalities for discrete operators and applications
نویسندگان
چکیده
We consider interpolation inequalities for imbeddings of the l2-sequence spaces overd-dimensional lattices into the l∞ 0 spaceswritten as interpolation inequality between the l2-norm of a sequence and its difference. A general method is developed for finding sharp constants, extremal elements and correction terms in this type of inequalities. Applications to Carlson’s inequalities and spectral theory of discrete operators are given.
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تاریخ انتشار 2014