Anisotropic Gevrey-Hörmander pseudo-differential operators on modulation spaces

2018/06/25 by Ahmed Abdeljawad, Abdeljawad, Ahmed, Joachim Toft +1
Engineering · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1806.10002

openalex publication_date 2018/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show continuity properties for the pseudo-differential operator Op (a) from M(ω₀ω,\mathscr B ) to M(ω,\mathscr B ), for fixed s,σ≥ 1, ω,ω₀∈ \mathscr P _s,σ⁰ (ω,ω₀∈ \mathscr P _s,σ), a∈ Γ^σ,s_(ω0) (a∈ Γ^σ,s;0_(ω0)) , and \mathscr B is an invariant Banach function space.

Related

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• Pseudo-differentialoperators on Orlicz modulation spaces
• Bilinear pseudo-differential operators with Gevrey-Hörmander symbols
• Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey\n type pseudo-differential operators
• Continuity and Schatten properties for pseudo-differential operators with symbols in quasi-Banach modulation spaces or Hörmander classes