Dixmier Traceability for General Pseudo-differential Operators

  • Fabio Nicola
  • Luigi Rodino
Part of the Trends in Mathematics book series (TM)


For Hörmander’s classes OPS(m, g) of pseudo-differential operators associated with a weight m and a metric g we prove (under an additional technical condition) that, if m is in the space L 1-weak, all operators in that class have finite Dixmier trace.


Pseudo-differential operators Dixmier trace Lorentz-Marcinkiewicz space 


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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2008

Authors and Affiliations

  • Fabio Nicola
    • 1
  • Luigi Rodino
    • 2
  1. 1.Dipartimento di MatematicaPolitecnico di TorinoTorinoItaly
  2. 2.Dipartimento di MatematicaUniversità di TorinoTorinoItaly

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