The L^p-boundedness of wave operators for four dimensional Schrödinger operators with threshold resonances

2022/02/16 by Kenji Yajima, Yajima, Kenji
Mathematics · #47A40 #81Q10 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2202.08083

openalex publication_date 2022/02/16 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We prove that the low energy parts of the wave operators W_± for Schrödinger operators H = -\lap + V(x) on \R⁴ are bounded in L^p(\R⁴) for 1

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