Multiplication properties in pseudo-differential calculus with small regularity on the symbols

DOI10.1007/s11868-010-0007-0zbMath1206.35268OpenAlexW2127585133MaRDI QIDQ601090

Joachim Toft

Publication date: 3 November 2010

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-010-0007-0

zbMATH Keywords

Toeplitz operatorsmodulation spaceSchatten-von Neumann spacetwisted convolution algebraWeyl product

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Pseudodifferential operators as generalizations of partial differential operators (35S05) Function spaces arising in harmonic analysis (42B35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Pseudodifferential operators (47G30)

Related Items

Isomorphism properties of Toeplitz operators and pseudo-differential operators between modulation spaces, Gabor pairs, and a discrete approach to wave-front sets, Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators, Multiplication Properties in Gelfand–Shilov Pseudo-differential Calculus, The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators, The inclusion relation between Sobolev and modulation spaces, \(L^p\) and Sobolev boundedness of pseudodifferential operators with non-regular symbol: a regularisation approach, Well-posedness for the incompressible magneto-hydrodynamic system on modulation spaces, Symplectic covariance properties for Shubin and Born–Jordan pseudo-differential operators, The range of localization operators and lifting theorems for modulation and Bargmann-Fock spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Banach spaces related to integrable group representations and their atomic decompositions. II
• Multilinear localization operators
• L\({}^ p\)-boundedness of pseudo-differential operators satisfying Besov estimates. I
• \(L^2\) estimates for Weyl quantization
• Modulation spaces and pseudodifferential operators
• Gabor frames and time-frequency analysis of distributions
• Positivity properties in noncommutative convolution algebras with applications in pseudo-differential calculus
• Time-frequency analysis of localization operators.
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Foundations of time-frequency analysis
• Continuity properties in non-commutative convolution algebras, with applications in pseudo-differential calculus
• Atomic characterizations of modulation spaces through Gabor-type representations
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. II
• An algebra of pseudodifferential operators
• Weyl product algebras and modulation spaces
• Schatten classes for Toeplitz operators with Hilbert space windows on modulation spaces
• Composition and spectral invariance of pseudodifferential operators on modulation spaces
• Symbolic calculus and Fredholm property for localization operators
• Integral bounds for radar ambiguity functions and Wigner distributions
• 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)
• Espaces fonctionnels associés au calcul de Weyl-Hörmander
• Subalgebras to a Wiener type algebra of pseudo-differential operators
• Pseudodifferential operators on modulation spaces