Continuity and Schatten Properties for Toeplitz Operators on Modulation Spaces

DOI10.1007/978-3-7643-8116-5_18zbMath1147.47018OpenAlexW1577830591MaRDI QIDQ3592958

Joachim Toft

Publication date: 24 September 2007

Published in: Modern Trends in Pseudo-Differential Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8116-5_18

zbMATH Keywords

modulation spacesToeplitz operatorsSchatten classeslocalization operatorsanti-Wick operators

Mathematics Subject Classification ID

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)

Related Items (15)

Continuity and Schatten-von Neumann properties for localization operators on modulation spaces ⋮ Multiplication properties in pseudo-differential calculus with small regularity on the symbols ⋮ Isomorphism properties of Toeplitz operators and pseudo-differential operators between modulation spaces ⋮ Choosing Function Spaces in Harmonic Analysis ⋮ Matrix Parameterized Pseudo-differential Calculi on Modulation Spaces ⋮ Bilinear localization operators on modulation spaces ⋮ Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators ⋮ Weyl product algebras and modulation spaces ⋮ Schatten classes for Toeplitz operators with Hilbert space windows on modulation spaces ⋮ 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 ⋮ Quasianalytic Gelfand-Shilov spaces with application to localization operators ⋮ Trace ideals for pseudo-differential operators and their commutators with symbols in \(\alpha \)-modulation spaces ⋮ The range of localization operators and lifting theorems for modulation and Bargmann-Fock spaces ⋮ Unnamed Item

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