Boundary Strichartz estimates and pointwise convergence for orthonormal systems

2023/06/26 by Neal Bez, Bez, Neal, Shinya Kinoshita +3 · 3 citations
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2306.14536

openalex publication_date 2023/06/26 · openalex created_date 2023/06/28 · openalex updated_date 2026/07/28

Abstract

We consider maximal estimates associated with fermionic systems. First we establish maximal estimates with respect to the spatial variable. These estimates are certain boundary cases of the many-body Strichartz estimates pioneered by Frank, Lewin, Lieb and Seiringer. We also prove new maximal-in-time estimates, thereby significantly extending work of Lee, Nakamura and the first author on Carleson's pointwise convergence problem for fermionic systems.

Cited by

• Maximal estimates for orthonormal systems of wave equations with sharp regularity
• Maximal estimates for orthonormal systems of wave equations
• Strichartz estimates involving orthonormal systems at the critical summability exponent

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