Subalgebras to a Wiener type algebra of pseudo-differential operators

Annales de l'Institut Fourier

Volumn 51, Issue 5, 2001, Pages 1347-1383

  Toft, Joachim ^a  

^a BLEKINGE INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Admissible functions; H lder's inequality; Pseudo differential operators; Schatten von Neumann classes; Weyl calculus; Young's inequality

Indexed keywords

EID: 0003279036     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.1857     Document Type: Article

References (12)

1. A. BOULKHEMAIR, Remarks on a Wiener type pseudodifferential algebra and Fourier integral operators, Math. Res. L., 4 (1997), 53-67.
2. J. BERGH, J. LÖFSTRÖM, Interpolation Spaces, An Introduction, Springer-Verlag, Berlin-Heidelberg-New York, 1976.
3. M. DIMASSI, J. SJÖSTRAND, Spectral Asymptotics in the Semi-Classical Limit, vol. 268, London Math. Soc. Lecture Note Series, Cambridge University Press, Cambridge, New York, Melbourne, Madrid, 1999.
4. L. HÖRMANDER, The Analysis of Linear Partial Differential Operators, vol. III, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1985.
5. E. H. LIEB, Gaussian kernels have only Gaussian maximizers, Invent. Math., 102 (1990), 179-208.
6. M. REED, B. SIMON, Methods of modern mathematical physics, Academic Press, London-New York, 1979.
7. B. SIMON, Trace ideals and their applications I, vol. 35, London Math. Soc. Lecture Note Series, Cambridge University Press, Cambridge-London-New York-Melbourne, 1979.
8. J. SJÖSTRAND, An algebra of pseudodifferential operators, Math. Res. L., 1 (1994), 185-192.
9. J. SJÖSTRAND, Wiener type algebras of pseudodifferential operators, Séminaire Equations aux Dérivées Partielles, Ecole Polytechnique, 1994/1995, Exposé no IV.
10. J. TOFT, Continuity and Positivity Problems in Pseudo-Differential Calculus, Thesis, Department of Mathematics, University of Lund, Lund, 1996.
11. J. TOFT, Regularizations, decompositions and lower bound problems in the Weyl calculus, Comm. Partial Differential Equations, 7 & 8 (2000), 1201-1234.
12. J. TOFT, Continuity properties in non-commutative convolution algebras with applications in pseudo-differential calculus, Bull. Sci. Math., 125 (2001).