Skip to main content

Another characterization of Hp, 0<p<∞, with an application to interpolation

  • Conference paper
  • First Online:
Book cover Harmonic Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 992))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L.V. Ahlfors, Lectures on Quasiconformal Mappings, Van Nostrand, 1966.

    Google Scholar 

  2. J. Bergh and J. Löfström, Interpolation Spaces: An Introduction, Springer-Verlag, Berlin, Heidelberg, New York, 1976.

    Book  MATH  Google Scholar 

  3. R.R. Coifman and C. Fefferman, Weighted norm inequalities for maximal functions and singular integrals, Studia Math. 54 (1974), 241–250.

    MathSciNet  MATH  Google Scholar 

  4. C. Fefferman and E. Stein, Hp spaces of several variables, Acta. Math. 129 (1972), 136–193.

    Article  MathSciNet  Google Scholar 

  5. P. Grisvard, Commutativité de deux foncteurs d'interpolation et applications, J. Math. Pures Appl. 45 (1966), 143–290.

    MathSciNet  MATH  Google Scholar 

  6. M. de Guzman, Real variable methods in Fourier analysis, North-Holland, New York, 1981.

    MATH  Google Scholar 

  7. S. Janson and J. Peetre, to appear in Math. Scand.

    Google Scholar 

  8. P. Jones, Homeomorphisms of the line which preserve BMO, to appear in Arkiv för Matematik.

    Google Scholar 

  9. J. Peetre, personal communication, 1982.

    Google Scholar 

  10. J. Peetre, New Thoughts on Besov Spaces, Duke University Mathematics Series 1, Mathematics Department, Duke University, Durham, 1976.

    MATH  Google Scholar 

  11. J. Peetre and E. Svensson, On the generalized Hardy's inequality of McGhee, Pigno, and Smith and the problem of interpolation between BMO and a Besov space, preprint, 1982.

    Google Scholar 

  12. V.V. Peller, Smooth Hankel operators and their applications (ideals γp, Besov classes, random processes), Dokl. Akad. Nauk. SSSR 252 (1980), 43–48. (Russian)

    MathSciNet  Google Scholar 

  13. V.V. Peller, Hankel operators of class gp and their applications (rational approximation, Gaussian processes, the majorant problem for operators), Mat. Sb. 113 (1980), 538–581. (Russian)

    MathSciNet  MATH  Google Scholar 

  14. E.M. Stein and G. Weiss, Interpolation of operators with change in measures, Trans. Amer. Math. Soc. 87 (1958), 159–172.

    Article  MathSciNet  MATH  Google Scholar 

  15. E.M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, N.J., 1971.

    MATH  Google Scholar 

  16. E.M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, N.J., 1970.

    MATH  Google Scholar 

  17. R.R. Coifman and R. Rochberg, Representation theorems for holomorphic and harmonic functions in Lp, Asterisque 77 (1980), 11–66.

    MathSciNet  MATH  Google Scholar 

  18. T. Wolff, A note on interpolation spaces, Harmonic Analysis, Proceedings, Minneapolis, 1981, Lecture Notes in Mathematics 908, 199–20 Springer-Verlag, New York, 1982.

    Google Scholar 

  19. S. Semmes, Ph.D. Dissertation, Washington University, St. Louis, 1983.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Giancarlo Mauceri Fulvio Ricci Guido Weiss

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Semmes, S. (1983). Another characterization of Hp, 0<p<∞, with an application to interpolation. In: Mauceri, G., Ricci, F., Weiss, G. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 992. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069161

Download citation

  • DOI: https://doi.org/10.1007/BFb0069161

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12299-9

  • Online ISBN: 978-3-540-39885-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics