Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes

DOI10.1142/S0219530516500159zbMath1459.47019MaRDI QIDQ5267947

Joachim Toft

Publication date: 13 June 2017

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

continuityquasi-Banach spacematricesSchatten-von Neumann classmodulation spaceHörmander classmixed quasi-norm estimates

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Pseudodifferential operators (47G30)

Related Items (20)

Factorizations and singular value estimates of operators with Gelfand-Shilov and Pilipović kernels ⋮ Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces ⋮ Quasi-Banach modulation spaces and localization operators on locally compact abelian groups ⋮ Continuity properties and Bargmann mappings of quasi-Banach Orlicz modulation spaces ⋮ Note on the Wigner distribution and localization operators in the quasi-Banach setting ⋮ Continuity of Gevrey-Hörmander pseudo-differential operators on modulation spaces ⋮ Pseudo-differential operators on Orlicz modulation spaces ⋮ Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators ⋮ Pseudo-differential calculus in a Bargmann setting ⋮ Pseudo-differential Calculi and entropy estimates with Orlicz modulation spaces ⋮ Spectral deviation of concentration operators for the short-time Fourier transform ⋮ Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations ⋮ Decay and smoothness for eigenfunctions of localization operators ⋮ Anisotropic Gevrey-Hörmander Pseudo-Differential Operators on Modulation Spaces ⋮ Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness ⋮ Schatten properties, nuclearity and minimality of phase shift invariant spaces ⋮ Characterization of smooth symbol classes by Gabor matrix decay ⋮ Subexponential decay and regularity estimates for eigenfunctions of localization operators ⋮ The Weyl product on quasi-Banach modulation spaces ⋮ Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type

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