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2020 | OriginalPaper | Buchkapitel

Anisotropic Gevrey-Hörmander Pseudo-Differential Operators on Modulation Spaces

verfasst von : Ahmed Abdeljawad, Joachim Toft

Erschienen in: Advances in Microlocal and Time-Frequency Analysis

Verlag: Springer International Publishing

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Abstract

We show continuity properties for the pseudo-differential operator \(\operatorname {Op} (a)\) from \(M(\omega _0\omega ,\mathscr B )\) to \(M(\omega ,\mathscr B )\), for fixed s, σ ≥ 1, \(\omega ,\omega _0\in \mathscr P _{s,\sigma }^0\) (\(\omega ,\omega _0\in \mathscr P _{s,\sigma }\)), \(a\in \Gamma ^{\sigma ,s}_{(\omega _0)}\) (\(a\in \Gamma ^{\sigma ,s;0}_{(\omega _0)}\)), and \(\mathscr B\) is an invariant Banach function space.

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Titel: Anisotropic Gevrey-Hörmander Pseudo-Differential Operators on Modulation Spaces
verfasst von: Ahmed Abdeljawad
Joachim Toft
Verlag: Springer International Publishing
Buch: Advances in Microlocal and Time-Frequency Analysis
Print ISBN: 978-3-030-36137-2

Electronic ISBN: 978-3-030-36138-9

Copyright-Jahr: 2020
DOI: https://doi.org/10.1007/978-3-030-36138-9_1

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