Littlewood-Paley decomposition of operator densities and application to a new proof of the Lieb-Thirring inequality

DOI10.1007/s11040-016-9215-zzbMath1413.42017arXiv1506.06612OpenAlexW1151937379MaRDI QIDQ1663371

Julien Sabin

Publication date: 21 August 2018

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06612

zbMATH Keywords

density matrixLittlewood-Paley decompositionLieb-Thirring inequality

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Applications of functional analysis in quantum physics (46N50)

Related Items (6)

The Lieb–Thirring inequalities: Recent results and open problems ⋮ A proof of the Lieb-Thirring inequality via the Besicovitch covering lemma ⋮ Lieb-Thirring inequalities and other functional inequalities for orthonormal systems ⋮ Global existence versus finite time blowup dichotomy for the system of nonlinear Schrödinger equations ⋮ The nonlinear Schrödinger equation for orthonormal functions. II: Application to Lieb-Thirring inequalities ⋮ The orthonormal Strichartz inequality on torus

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• Endpoint Strichartz estimates
• Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
• Classical and Multilinear Harmonic Analysis

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