Schatten-von Neumann properties for Fourier integral operators with non-smooth symbols. II

zbMath1207.35289arXiv0802.2352MaRDI QIDQ601288

Gianluca Garello, Francesco Concetti, Joachim Toft

Publication date: 4 November 2010

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2352

zbMATH Keywords

Fourier integral operatorSchatten-von Neumann classmodulation space

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)

Related Items (11)

Generalized metaplectic operators and the Schrödinger equation with a potential in the Sjöstrand class ⋮ Highly oscillatory unimodular Fourier multipliers on modulation spaces ⋮ Symplectic analysis of time-frequency spaces ⋮ Anisotropic Gevrey-Hörmander Pseudo-Differential Operators on Modulation Spaces ⋮ Schatten class Fourier integral operators ⋮ Boundedness of Schrödinger type propagators on modulation spaces ⋮ Sharp estimates of unimodular Fourier multipliers on Wiener amalgam spaces ⋮ Singular Support and $$\mathfrak{F}$$ L q Continuity of Pseudodifferential Operators ⋮ A characterization of modulation spaces by symplectic rotations ⋮ Compactness of Fourier integral operators on weighted modulation spaces ⋮ Schrödinger equations with rough Hamiltonians

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