Skip to main content
Log in

Weighted distribution spaces and pseudodifferential operators

  • Published:
Journal d’Analyse Mathématique Aims and scope

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

Access this article

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

Instant access to the full article PDF.

References

  1. R. Beals,Spatially inhomogeneous pseudodifferential operators, II, Comm. Pure Appl. Math.27 (1974), 161–205.

    Article  MATH  MathSciNet  Google Scholar 

  2. R. Beals,A general calculus of pseudodifferential operators, Duke Math. J.42 (1975), 1–42.

    Article  MATH  MathSciNet  Google Scholar 

  3. R. Beals,Characterization of pseudodifferential operators and applications, Duke Math. J.44 (1977), 45–57;correction, Duke Math. J.46 (1979), 215.

    Article  MATH  MathSciNet  Google Scholar 

  4. R. Beals,L p and Hölder estimates for pseudodifferential operators: necessary conditions, Proc. Symp. Pure Math., Vol. 35, part 2, Amer. Math. Soc., Providence, R.I., 1979, pp. 153–157.

    Google Scholar 

  5. R. Beals,L p and Hölder estimates for pseudodifferential operators: sufficient conditions, Ann. Inst. Fourier29 (1979), 239–260.

    MATH  MathSciNet  Google Scholar 

  6. R. Beals and C. Fefferman,Spatially inhomogeneous pseudodifferential operators, Comm. Pure Appl. Math.27 (1974), 1–24.

    Article  MATH  MathSciNet  Google Scholar 

  7. A. P. Calderón,Intermediate spaces and interpolation, the complex method, Studia Math.24 (1964), 113–190.

    MATH  MathSciNet  Google Scholar 

  8. R. Coifman and G. Weiss,Analyse Harmonique Non-Commutative sur certains Espaces Homogènes, Lecture Notes in Math., No. 242, Springer-Verlag, Berlin, 1971.

    MATH  Google Scholar 

  9. R. Coifman and G. Weiss,Extensions of Hardy spaces and their uses in analysis, Bull. Amer. Math. Soc.83 (1977), 569–645.

    Article  MATH  MathSciNet  Google Scholar 

  10. C. Folland,Subelliptic estimates and function spaces on nilpotent Lie groups, Ark. Mat.13 (1975), 161–207.

    Article  MATH  MathSciNet  Google Scholar 

  11. G. Folland and E. M. Stein, Estimates for the \(\bar \partial _b \) complex and analysis on the Heisenberg group, Comm. Pure Appl. Math.27 (1974), 429–522.

    Article  MATH  MathSciNet  Google Scholar 

  12. L. Hörmander,Pseudo-differential operators and hypoelliptic equations, Proc. Symp. Pure Math., Vol. 10, Amer. Math. Soc., Providence, R.I., 1967, pp. 138–183.

    Google Scholar 

  13. L. Hörmander,The Weyl calculus of pseudodifferential operators, Com. Pure Appl. Math.32 (1979), 359–443.

    Article  MATH  Google Scholar 

  14. N. Lerner,Sur les espaces de Sobolev généraux associés aux classes récentes d’opérateurs pseudo-différentiels, C. R. Acad. Sci. Paris, Sér. A,289 (1979), 663–666.

    MATH  MathSciNet  Google Scholar 

  15. A. Nagel and E. M. Stein,A new class of pseudodifferential operators, Proc. Nat. Acad. Sci. U.S.A.75 (1978), 582–585.

    Article  MATH  MathSciNet  Google Scholar 

  16. L. Rothschild and E. M. Stein,Hypoelliptic differential operators and nilpotent groups, Acta Math.137 (1976), 247–320.

    Article  MathSciNet  Google Scholar 

  17. R. Seeley,Complex powers of an elliptic operator, Proc. Symp. Pure Math., Vol. 10, Amer. Math. Soc., Providence, R. I., 1967, pp. 288–307.

    Google Scholar 

  18. V. A. Solonnikov,A priori estimates for solutions of second-order equations of parabolic type, Trudy Mat. Inst. Steklov70 (1964), 133–212.

    MATH  MathSciNet  Google Scholar 

  19. A. Unterberger,Symboles associés aux champs de repères de la forme symplectique, C. R. Acad. Sci. Paris, Sér. A,245 (1977), 1005–1008.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported in part by the National Science Foundation, grant MCS 78-02945.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Beals, R. Weighted distribution spaces and pseudodifferential operators. J. Anal. Math. 39, 131–187 (1981). https://doi.org/10.1007/BF02803334

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02803334

Keywords

Navigation