Classes de Schatten d'opérateurs pseudo-différentiels

DOI10.24033/asens.1466zbMath0574.47032OpenAlexW2238461801MaRDI QIDQ3694117

Christiane Rondeaux

Publication date: 1984

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1984_4_17_1_67_0

zbMATH Keywords

symbolSchatten classnorm fieldsymplectic norms

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) 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) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items

Schatten p-class property of pseudodifferential operators with symbols in modulation spaces ⋮ Nonlinear eigenvalues and analytic hypoellipticity ⋮ Semiclassical approximations for Hamiltonians with operator-valued symbols ⋮ Closure of the set of pseudodifferential operators ⋮ Function spaces and classes of pseudodifferential operators ⋮ Heat flow, BMO, and the compactness of Toeplitz operators ⋮ Integral formulas for the Weyl and anti-Wick symbols ⋮ On the Schatten-von Neumann properties of some pseudo-differential operators ⋮ Pseudo-differential operators with discontinuous symbols: Widom’s Conjecture ⋮ Continuity properties in non-commutative convolution algebras, with applications in pseudo-differential calculus

Cites Work

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• Characterization of pseudodifferential operator and application
• Oscillateur harmonique et opérateurs pseudo-différentiels
• On the boundedness and the nuclearity of pseudo-differential operators
• The weyl calculus of pseudo-differential operators