Continuity of Gevrey-Hörmander pseudo-differential operators on modulation spaces

2017/10/31 by Toft, Joachim
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1710.11366

Abstract

Let s≥ 1, ω,ω₀∈ \mathscr P_E,s⁰, a∈ Γ_s^(ω₀), and let \mathscr B be a suitable invariant quasi-Banach function space, Then we prove that the pseudo-differential operator Op (a) is continuous from M(ω₀ω,\mathscr B ) to M(ω,\mathscr B ).

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