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Let $$s\ge 1$$s≥1, $$\omega ,\omega _0\in {\mathscr {P}}_{E,s}^0$$ω,ω0∈PE,s0, $$a\in \Gamma _{s}^{(\omega _0)}$$a∈Γs(ω0), and let $${\mathscr {B}}$$B be a suitable invariant quasi-Banach function space. Then we prove that the pseudo-differential operator… Click to show full abstract
Let $$s\ge 1$$s≥1, $$\omega ,\omega _0\in {\mathscr {P}}_{E,s}^0$$ω,ω0∈PE,s0, $$a\in \Gamma _{s}^{(\omega _0)}$$a∈Γs(ω0), and let $${\mathscr {B}}$$B be a suitable invariant quasi-Banach function space. Then we prove that the pseudo-differential operator $${\text {Op}}(a)$$Op(a) is continuous from $$M(\omega _0\omega ,{\mathscr {B}})$$M(ω0ω,B) to $$M(\omega ,{\mathscr {B}})$$M(ω,B).
Keywords:
differential operators;
omega mathscr;
continuity gevrey;
pseudo differential
Journal Title: Journal of Pseudo-Differential Operators and Applications
Year Published: 2019
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Journal Title: Journal of Pseudo-Differential Operators and Applications
Year Published: 2019
Link to full text (if available)
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recommendations!