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Higher order commutators of singular integral operators

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1070)

Keywords

  • Hardy Space
  • Toeplitz Operator
  • Besov Space
  • Pseudodifferential Operator
  • Singular Integral Operator

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References

  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. 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).

    MathSciNet  Google Scholar 

  3. Coifman, R., Rochberg, R., Weiss, G.: Factorization theorems for Hardy spaces in several variables. Ann. Math. 103, 611–635 (1976).

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Janson, S: Mean oscillation and commutators of singular integral operators. Ark. Mat. 16, 263–270 (1968).

    CrossRef  MathSciNet  MATH  Google Scholar 

  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. Janson, S., Peetre, J., Semmes, S.: On the action of Hankel and Toeplitz operators on some function spaces. In preparation.

    Google Scholar 

  7. Janson, S., Wolff, Th.: Schatten classes and commutators of singular integral operators. Ark. Mat. 20, 301–310 (1982).

    CrossRef  MathSciNet  MATH  Google Scholar 

  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. 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. Peetre, J.: New thoughts on Besov spaces. Duke University Mathematics Series 1. Durham: Mathematics Department, Duke University 1976.

    Google Scholar 

  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. 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].

    MathSciNet  MATH  Google Scholar 

  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. 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. Semmes, S.: Trace ideal criterion for Hankel operators, O < p < 1. Integral Equations Operator Theory [to appear].

    Google Scholar 

  16. Shubin, M. A.: Pseudodifferential operators and spectral theory. Moscow: Nauka 1978 [Russian].

    MATH  Google Scholar 

  17. Simon, B.: Trace ideals and their applications. Cambridge: Cambridge University Press 1979.

    MATH  Google Scholar 

  18. Uchiyama, A.: Compactness of operators of Hankel type. Tohoku Math. J. 30 (1978), 163–171.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1984 Springer-Verlag

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Janson, S., Peetre, J. (1984). Higher order commutators of singular integral operators. In: Cwikel, M., Peetre, J. (eds) Interpolation Spaces and Allied Topics in Analysis. Lecture Notes in Mathematics, vol 1070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099097

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  • DOI: https://doi.org/10.1007/BFb0099097

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13363-6

  • Online ISBN: 978-3-540-38913-2

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