Logo image
Open Research University homepage
Surrey researchers Sign in
Sharp interpolation inequalities for discrete operators and applications
Journal article   Open access   Peer reviewed

Sharp interpolation inequalities for discrete operators and applications

A Ilyin, A Laptev and S Zelik
BULLETIN OF MATHEMATICAL SCIENCES, Vol.5(1), pp.19-57
04/2015

Abstract

Discrete operators Sobolev inequality Interpolation inequalities Green's function Sharp constants Lieb-Thirring inequalities Carlson inequality Mathematics
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
pdf
Ilyin-Laptev-Zelik2014590.19 kBDownloadView
TextSRIDA Open Access
url
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000351224700003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=11d2a86992e85fb529977dad66a846d5View
Author

Metrics

Details

Logo image

Usage Policy