Sharp interpolation inequalities for discrete operators and applications
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Ilyin, A, Laptev, A and Zelik, S (2015) Sharp interpolation inequalities for discrete operators and applications BULLETIN OF MATHEMATICAL SCIENCES, 5 (1). pp. 19-57.
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Abstract
We consider interpolation inequalities for imbeddings of the l 2-sequence spaces over d-dimensional lattices into the l ∞ 0 spaces written as interpolation inequality between the l 2-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
Item Type: | Article |
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Subjects : | Mathematics |
Divisions : | Faculty of Engineering and Physical Sciences > Mathematics |
Authors : | Ilyin, A, Laptev, A and Zelik, S |
Date : | April 2015 |
DOI : | 10.1007/s13373-014-0060-8 |
Copyright Disclaimer : | © The Author(s) 2014. This article is published with open access at SpringerLink.com |
Uncontrolled Keywords : | Discrete operators, Sobolev inequality, Interpolation inequalities, Green's function, Sharp constants, Lieb-Thirring inequalities, Carlson inequality |
Related URLs : | |
Depositing User : | Symplectic Elements |
Date Deposited : | 03 Nov 2016 11:33 |
Last Modified : | 06 Jul 2019 05:15 |
URI: | http://epubs.surrey.ac.uk/id/eprint/812219 |
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