Pointwise convergence of sequential Schrödinger means

2022/07/19 by Chu-Hee Cho, Hyerim Ko, Cho, Chu-Hee +5
Mathematics · #35Q41 #35S10 #42B25 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2207.09219

openalex publication_date 2022/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study pointwise convergence of the fractional Schrödinger means along sequences t_n which converge to zero. Our main result is that bounds on the maximal function sup_n |e^it_n(-Δ)^α/2 f| can be deduced from those on sup_0

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