Sharp interpolation inequalities for discrete operators

DOI10.1134/S1064562415020349zbMath1348.46046MaRDI QIDQ492739

Serguei Zelik, Alexei A. Ilyin, A. A. Laptev

Publication date: 21 August 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

embeddinginterpolation inequality\(l^{2}\)-space

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Discrete version of topics in analysis (39A12) Inequalities involving derivatives and differential and integral operators (26D10) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Cites Work

• Unnamed Item
• New constants in discrete Lieb-Thirring inequalities for Jacobi matrices
• Lieb-Thirring inequalities with improved constants
• A simple proof of the generalized Lieb-Thirring inequalities in one-space dimension
• Sharp Lieb-Thirring inequalities in high dimensions.
• Asymptotic expansions and extremals for the critical Sobolev and Gagliardo–Nirenberg inequalities on a torus
• Green's function asymptotics and sharp interpolation inequalities
• Nonlinear Schrödinger evolution equations
• Lattice Sums Then and Now

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