Embeddings and compactness for generalized Sobolev–Shubin spaces and modulation spaces

DOI10.1080/00036810412331297253zbMath1074.42010OpenAlexW1970570329WikidataQ58178047 ScholiaQ58178047MaRDI QIDQ4655415

Paolo Boggiatto, Joachim Toft

Publication date: 11 March 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810412331297253

zbMATH Keywords

Toeplitz operatorcompactnesslocalization operatormodulation spaceSobolev-Shubin space

Mathematics Subject Classification ID

Compactness (54D30) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (14)

Equivalent norms for modulation spaces from positive Cohen's class distributions ⋮ Uncertainty relations for a non-canonical phase-space noncommutative algebra ⋮ Uncertainty principle via variational calculus on modulation spaces ⋮ Modulation spaces, multipliers associated with the special affine Fourier transform ⋮ Isomorphism properties of Toeplitz operators and pseudo-differential operators between modulation spaces ⋮ Approximation by linear combinations of translates in invariant Banach spaces of tempered distributions via Tauberian conditions ⋮ An extension of localization operators ⋮ Unnamed Item ⋮ A Wiener Tauberian theorem for operators and functions ⋮ Schatten classes for Toeplitz operators with Hilbert space windows on modulation spaces ⋮ Compactness properties for modulation spaces ⋮ Time-frequency localization operators and a Berezin transform ⋮ Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes ⋮ Microlocal properties of Shubin pseudodifferential and localization operators

Cites Work

• Banach spaces related to integrable group representations and their atomic decompositions. I
• Banach spaces related to integrable group representations and their atomic decompositions. II
• Time-frequency analysis of localization operators.
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Continuity properties in non-commutative convolution algebras, with applications in pseudo-differential calculus
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. II
• An algebra of pseudodifferential operators and quantum mechanics in phase space
• Integral bounds for radar ambiguity functions and Wigner distributions

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