Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators

DOI10.1142/S0219530519500143zbMath1442.35573arXiv1712.04338MaRDI QIDQ3298572

Joachim Toft, Ahmed Abdeljawad, Sandro Coriasco

Publication date: 14 July 2020

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

Full work available at URL: https://arxiv.org/abs/1712.04338

zbMATH Keywords

Toeplitz operatorsGelfand-Shilov spacesBanach function spacesultra-distributionscomparable symbolsconfinement of symbolssymbol-valued evolution equations

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Function spaces arising in harmonic analysis (42B35) One-parameter semigroups and linear evolution equations (47D06) Isomorphic theory (including renorming) of Banach spaces (46B03) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Functional analytic lifting theory (46G15)

Related Items (9)

Equivalent norms for modulation spaces from positive Cohen's class distributions ⋮ Continuity of Gevrey-Hörmander pseudo-differential operators on modulation spaces ⋮ Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable ⋮ Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations ⋮ Compactness properties for modulation spaces ⋮ Bilinear pseudo-differential operators with Gevrey-Hörmander symbols ⋮ The Weyl product on quasi-Banach modulation spaces ⋮ Characterisation of the Weyl-Hörmander classes by time-frequency shifts ⋮ Wiener amalgam spaces of quasianalytic ultradistributions

Cites Work

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• Isomorphism properties of Toeplitz operators and pseudo-differential operators between modulation spaces
• Decompositions of Gelfand-Shilov kernels into kernels of similar class
• Sharp results for the Weyl product on modulation spaces
• Spectral properties for matrix algebras
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Multiplication properties in pseudo-differential calculus with small regularity on the symbols
• Banach spaces related to integrable group representations and their atomic decompositions. II
• Time-frequency analysis of Sjöstrand's class
• Quasianalytic Gelfand-Shilov spaces with application to localization operators
• Multidimensional extension of Faa di Bruno's formula
• Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\)
• Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\).
• Time-frequency analysis of localization operators.
• Pseudodifferential operators on ultra-modulation spaces.
• Foundations of time-frequency analysis
• Continuity properties in non-commutative convolution algebras, with applications in pseudo-differential calculus
• Factorizations and singular value estimates of operators with Gelfand-Shilov and Pilipović kernels
• The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators
• Atomic characterizations of modulation spaces through Gabor-type representations
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. II
• Spaces of test functions via the STFT
• An algebra of pseudodifferential operators
• Pseudodifferential operators of infinite order in spaces of tempered ultradistributions
• Compactness properties for modulation spaces
• Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians
• The Grossmann-Royer transform, Gelfand-Shilov spaces, and continuity properties of localization operators on modulation spaces
• Continuity of Gevrey-Hörmander pseudo-differential operators on modulation spaces
• Schatten classes for Toeplitz operators with Hilbert space windows on modulation spaces
• Composition and spectral invariance of pseudodifferential operators on modulation spaces
• Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients
• The range of localization operators and lifting theorems for modulation and Bargmann-Fock spaces
• Gabor representations of evolution operators
• Pseudo-differential operators in a Gelfand-Shilov setting
• Changes of variables in modulation and Wiener amalgam spaces
• Gabor Analysis for a Broad Class of Quasi-Banach Modulation Spaces
• Continuity and Schatten Properties for Pseudo-differential Operators on Modulation Spaces
• Continuity and Schatten Properties for Toeplitz Operators on Modulation Spaces
• Harmonic Analysis in Phase Space. (AM-122)
• The weyl calculus of pseudo-differential operators
• Espaces fonctionnels associés au calcul de Weyl-Hörmander
• Nonharmonic Analysis of Boundary Value Problems
• Matrix Parameterized Pseudo-differential Calculi on Modulation Spaces
• The Boundedness of Pseudodifferential Operators on Modulation Spaces
• Characterizations of the Gelfand-Shilov spaces via Fourier transforms
• Multiplication Properties in Gelfand–Shilov Pseudo-differential Calculus
• The Weyl product on quasi-Banach modulation spaces
• Pseudodifferential operators on locally compact abelian groups and Sjöstrand's symbol class
• Locally bounded linear topological spaces

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