Advertisement

Higher order commutators of singular integral operators

  • Svante Janson
  • Jaak Peetre
Contributed Papers
Part of the Lecture Notes in Mathematics book series (LNM, volume 1070)

Keywords

Hardy Space Toeplitz Operator Besov Space Pseudodifferential Operator Singular Integral Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Arazy, J., Fisher, S. D.: Some aspects of the minimal Möbius-invariant space of analytic functions in the unit disc. These Proceedings.Google Scholar
  2. 2.
    Birman, M. Sh., Solomjak, M. Z.: Estimates for singular numbers of integral operators. Uspehi Mat. Nauk 32:1, 17–84 (1977) [Russian] ≡ Russian Math. Surveys 32, 17–84 (1977).MathSciNetGoogle Scholar
  3. 3.
    Coifman, R., Rochberg, R., Weiss, G.: Factorization theorems for Hardy spaces in several variables. Ann. Math. 103, 611–635 (1976).MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    Janson, S: Mean oscillation and commutators of singular integral operators. Ark. Mat. 16, 263–270 (1968).MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Janson, S: Generalizations of Lipschitz spaces and an application to Hardy spaces and bounded mean oscillation. Duke Math. J. 47, 959–982.Google Scholar
  6. 6.
    Janson, S., Peetre, J., Semmes, S.: On the action of Hankel and Toeplitz operators on some function spaces. In preparation.Google Scholar
  7. 7.
    Janson, S., Wolff, Th.: Schatten classes and commutators of singular integral operators. Ark. Mat. 20, 301–310 (1982).MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    Peetre, J.: Hankel operators, rational approximation and allied questions of analysis. In: Second Edmontom Conference on Approximation Theory. Conference Proceedings. Vol. 3. Providence: American Mathematical Society 1983.Google Scholar
  9. 9.
    Peetre, J.: Invariant function spaces connected with the holomorphic discrete series. Conference Functional Analysis and Approximation (Oberwolfach, July 31–Aug. 6, 1983) [to appear].Google Scholar
  10. 10.
    Peetre, J.: New thoughts on Besov spaces. Duke University Mathematics Series 1. Durham: Mathematics Department, Duke University 1976.Google Scholar
  11. 11.
    Peller, V. V.: Hankel operators of the Schatten-von Neumann class Sp, O < p < 1. LOMI Preprints E-6-82. Leningrad: 1982.Google Scholar
  12. 12.
    Peller, V. V.: Hankel operators of class Sp and applications (rational approximation, Gaussian processes, the majorant problem for operators). Mat. Sb. 113, 538–581 (1980) [Russian].MathSciNetzbMATHGoogle Scholar
  13. 13.
    Peller, V. V.: Continuity properties of the averaging projection onto the set of Hankel matrices. LOMI Preprints E-3-83. Leningrad: 1983.Google Scholar
  14. 14.
    Peller, V. V.: Continuity properties of the averaging projection onto the set of Hankel matrices II. LOMI Preprints E-7-83. Leningrad: 1983.Google Scholar
  15. 15.
    Semmes, S.: Trace ideal criterion for Hankel operators, O < p < 1. Integral Equations Operator Theory [to appear].Google Scholar
  16. 16.
    Shubin, M. A.: Pseudodifferential operators and spectral theory. Moscow: Nauka 1978 [Russian].zbMATHGoogle Scholar
  17. 17.
    Simon, B.: Trace ideals and their applications. Cambridge: Cambridge University Press 1979.zbMATHGoogle Scholar
  18. 18.
    Uchiyama, A.: Compactness of operators of Hankel type. Tohoku Math. J. 30 (1978), 163–171.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Svante Janson
    • 1
  • Jaak Peetre
    • 2
  1. 1.Matematiska instutionenUppsalaSweden
  2. 2.Matematiska institutionenLundSweden

Personalised recommendations