Skip to main content
Log in

On someL p-estimates for hyperbolic equations

  • Published:
Arkiv för Matematik

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.

Institutional subscriptions

References

  1. Beals, M.,L p boundedness of Fourier integral operators,Mem. Amer. Math. Soc. 264 (1982).

  2. Bergh, J. andLöfström, J.,Interpolation spaces, Springer-Verlag, Berlin, Heidelberg, New York, 1976.

    MATH  Google Scholar 

  3. Fefferman, C. andStein, E. M.,H p spaces of several variables,Acta Math. 129 (1972), 137–193.

    Article  MATH  MathSciNet  Google Scholar 

  4. Flanders, H.,Differential forms with applications to the physical sciences, Academic Press, New York, London, 1963.

    MATH  Google Scholar 

  5. Hirschman, I. I., On multiplier transformations,Duke Math. J. 26 (1959), 221–242.

    Article  MATH  MathSciNet  Google Scholar 

  6. Hörmander, L., Fourier integral operators, I,Acta Math. 127 (1971), 79–183.

    Article  MATH  MathSciNet  Google Scholar 

  7. Kobayashi, S. andNomizu, K.,Foundations of differential geometry, II, Interscience, New York, 1969.

    Google Scholar 

  8. Latter, R. H., A characterization ofH p(R n) in terms of atoms,Studia Math. 62 (1978), 93–101.

    MATH  MathSciNet  Google Scholar 

  9. Marshall, E., Estimates for solutions of wave equations with vanishing curvature,Canad. J. Math. 37 (1985), 1176–1200.

    MATH  MathSciNet  Google Scholar 

  10. Miyachi, A., On some Fourier multipliers forH p (R n),J. Fac. Sci. Univ. Tokyo Sect. 1A. Math. 27 (1980), 157–179.

    MATH  MathSciNet  Google Scholar 

  11. Miyachi, A., On some estimates for the wave equation inL p andH p,, 331–354.

    MATH  MathSciNet  Google Scholar 

  12. Peral, J.,L p estimates for the wave equation,J. Funct. Anal. 36 (1980), 114–145.

    Article  MATH  MathSciNet  Google Scholar 

  13. Seeger, A., Sogge, C. D. andStein, E. M., Regularity properties of Fourier integral operators,Ann. of Math. 134 (1991), 231–251.

    Article  MathSciNet  Google Scholar 

  14. Sjöstrand, S., On the Riesz means of the solutions of the Schrödinger equation,Ann. Scuola Norm. Sup. Pisa 24 (1970), 331–348.

    MATH  MathSciNet  Google Scholar 

  15. Stein, E. M.,Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton, N. J., 1970.

    MATH  Google Scholar 

  16. Triebel, H.,Theory of function spaces, Birkhäuser, Basel, Boston, 1983.

    Google Scholar 

  17. Wainger, S., Special trigonometric series ink-dimensions,Mem. Amer. Math. Soc. 59 (1965).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sugimoto, M. On someL p-estimates for hyperbolic equations. Ark. Mat. 30, 149–163 (1992). https://doi.org/10.1007/BF02384867

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02384867

Keywords

Navigation