Skip to main content
SpringerLink
Log in

Pseudo-differential operators of the ‘exotic’ class L O1,1 in spaces of besov and Triebel-Lizorkin type

  • Published:
Annals of Global Analysis and Geometry Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bony, J.M.: Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires, Annales Scientifiques de l'Ecole Normale Supérieure, vol. 14, 1981, 209–246.

    Google Scholar 

  2. Bui Huy Qui: Some aspects of weighted and non-weighted Hardy spaces, Kôkyûroku Res. Inst. Math. Sci. 383 (1980), 38–56.

    Google Scholar 

  3. Calderon, A.P. and Vaillancourt, R.: A class of bounded pseudo-differential operators. Proc. Nat. Acad. Sci. U. S. A. 69 (1972), 1185–1187.

    Google Scholar 

  4. Ching, C.-H.: Pseudo-differential Operators with nonregular symbols. J. Differential Equations, 11 (1972), 436–447.

    Google Scholar 

  5. Goldberg, D.: A local version of real Hardy space. Duke Math. J., 46 (1979), 27–41.

    Google Scholar 

  6. Hörmander, L.: Pseudo-differential operators and hypoelliptic equations. Proc. Symp. Pure Math. Vol. 10, Amer. Math. Soc., Providence R. I., 1966, 138–183.

    Google Scholar 

  7. Hörmander, L.: On the L2 continuity of pseudo-differential operators. Comm. Pure Appl. Math., 24 (1971), 529–535.

    Google Scholar 

  8. Illner, R.: A class of Lpp — bounded pseudo-differential operators. Proc. Amer. Math. Soc., 51 (2) (1975), 347–355.

    Google Scholar 

  9. Meyer, Y.: Remarques sur un theoreme de J.M. Bony supplemento ai rendiconti del Circolo mathematico di Palermo, atti del seminario de Analisi Armonica Pisa, 8–17 aprile 1980, Série II, numero 1, 1981.

  10. Nilsson, P.: Pseudo-differential operators in Hardy spaces. Preprint, Lund (1980).

    Google Scholar 

  11. Päivärinta, L.: Pseudo-differential operators in Hardy-Triebel spaces. Z. Analysis Anwendungen 2, 3 (1983), 235–242.

    Google Scholar 

  12. Peetre, J.: New thoughts on Besov spaces. duke Univ. Math. Series, Duke Univ. Durham, 1976.

    Google Scholar 

  13. Peetre, J.: On spaces of Triebel-Lizorkin type. Ark. Math. 13 (1975), 123–130.

    Google Scholar 

  14. Treves, F.: Introduction to pseudodifferential and Fourier integral operators, vol. 1 and 2. The University Series in Mathematics, New York, 1980.

    Google Scholar 

  15. Triebel, H.: Interpolation Theory, Function Spaces, Differential Operators. North-Holland Publ. Comp., Amsterdam, New York, Oxford, 1978.

    Google Scholar 

  16. Triebel, H.: Fourier Analysis and Function Spaces. Teubner-Texte Math., Teubner, Leipzig, 1977.

    Google Scholar 

  17. Triebel, H.: Spaces of Besov-Hardy-Sobolev type. Teubner-Texte Math., Teubner, Leipzig, 1978.

    Google Scholar 

  18. Triebel, H.: Theory of Function Spaces. Teubner Verlagsgesellschaft, Leipzig, 1983, and Birkhäuser, Boston, 1983.

Download references

Author information

Authors and Affiliations

  1. Sektion Mathematik, Univesität Jena, DDR-6900, Jena

    Thomas Runst

Authors
  1. Thomas Runst
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Universitätschochhaus

Rights and permissions

Reprints and permissions

About this article

Cite this article

Runst, T. Pseudo-differential operators of the ‘exotic’ class L O1,1 in spaces of besov and Triebel-Lizorkin type. Ann Glob Anal Geom 3, 13–28 (1985). https://doi.org/10.1007/BF00054489

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00054489

Keywords

Search

Navigation