Mapping properties of the Schrödinger maximal function on Damek--Ricci spaces

2024/11/06 by Utsav Dewan, Dewan, Utsav, Swagato K. Ray +1 · 2 citations
Mathematics · #43A85 #43A90 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems #Primary 35J10 #Secondary 22E30

paper · pdf · doi:10.48550/arxiv.2411.04084

openalex publication_date 2024/11/06 · openalex created_date 2024/11/15 · openalex updated_date 2026/07/28

Abstract

For f ∈ \mathscrS²(\mathcal S)_o, the collection of radial L²-Schwartz class functions on Damek--Ricci spaces \mathcal S, we consider the Schrödinger maximal function, S^* f(x):= sup_01/2, holds true.

Cited by

• Regularity and pointwise convergence for dispersive equations on ℍ²
• Regularity and pointwise convergence for dispersive equations with asymptotically concave phase on Damek-Ricci spaces

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