One-Dimensional Interpolation Inequalities, Carlson-Landau Inequalities, and Magnetic Schrodinger Operators

被引：11

作者：

Ilyin, Alexei ^{[1
]}

Laptev, Ari ^{[2
,3
]}

Loss, Michael ^{[4
]}

Zelik, Sergey ^{[1
,5
]}

机构：

[1] MV Keldysh Appl Math Inst, Moscow 125047, Russia

[2] Univ London Imperial Coll Sci Technol & Med, London, England

[3] Inst Mittag Leffler, Djursholm, Sweden

[4] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[5] Univ Surrey, Dept Math, Guildford GU2 5XH, Surrey, England

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2016年 / 2016卷 / 04期

基金：

俄罗斯科学基金会; 美国国家科学基金会;

关键词：

LIEB-THIRRING INEQUALITIES; BOUNDS;

D O I：

10.1093/imrn/rnv156

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove refined first-order interpolation inequalities for periodic functions and give applications to various refinements of the Carlson-Landau-type inequalities and to magnetic Schrodinger operators. We also obtain Lieb-Thirring inequalities for magnetic Schrodinger operators on multi-dimensional cylinders.

引用

页码：1190 / 1222

页数：33

共 14 条

[1] SEMICLASSICAL BOUNDS FOR EIGENVALUES OF SCHRODINGER OPERATORS [J].