用Besicovitch覆盖引理证明Lieb–Thirring不等式

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2023-01-04 DOI:10.1007/s40306-022-00490-1

Phan Thành Nam

引用次数: 1

摘要

我们用微局部技术证明了正交函数动能上的Lieb–Thirring不等式，其中通过Besicovitch覆盖引理将不确定性和排除原理相结合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Proof of the Lieb–Thirring Inequality via the Besicovitch Covering Lemma

We give a proof of the Lieb–Thirring inequality on the kinetic energy of orthonormal functions by using a microlocal technique, in which the uncertainty and exclusion principles are combined through the use of the Besicovitch covering lemma.

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.