Skip to main content

Interpolation of tent spaces and applications

Surveys

Part of the Lecture Notes in Mathematics book series (LNM,volume 1302)

Keywords

  • Complex Method
  • Lorentz Space
  • Interpolation Space
  • Carleson Measure
  • Atomic Decomposition

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Alvarez, M. Milman, Spaces of Carleson measures, duality and interpolation, Arkiv för Mat. (to appear).

    Google Scholar 

  2. J. Alvarez, M. Milman, Vector valued tent spaces and applications, preprint.

    Google Scholar 

  3. E. Amar, A. Bonami, Measures de Carleson d’ordre α et solutions au bord de l’equation \(\bar \partial\), Bull. Soc. Math. France 107 (1979), 23–48.

    MATH  MathSciNet  Google Scholar 

  4. A. Bonami, R. Johnson, Tent spaces based on the Lorentz spaces, preprint.

    Google Scholar 

  5. J. Bergh, J. Löfström, Interpolation Spaces. Springer Verlag, 1976.

    Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  7. S.Y.A. Chang, R. Fefferman, Some recent developments in Fourier analysis and Hp theory on product domains, Bull. Amer. Math. Soc. 12 (1985), 1–43.

    CrossRef  MATH  MathSciNet  Google Scholar 

  8. R. Coifman, Y. Meyer, E.M. Stein, Un nouvel espace fonctionnel adapté a l’étude des operatéurs définis par des integrals singulièrs, Lecture notes in Math. 992 pp 1–15.

    Google Scholar 

  9. _____, Some new function spaces and their applications to harmonic analysis, J. Funct. Anal. 62 (1985), 304–335.

    CrossRef  MATH  MathSciNet  Google Scholar 

  10. M. Cwikel, M. Milman, Y. Sagher, Complex interpolation of some quasi Banach spaces, J. Funct. Anal. 65 (1986), 339–347.

    CrossRef  MATH  MathSciNet  Google Scholar 

  11. M. Gomez, M. Milman, Interpolation complexe des espaces Hp et théorème de Wolff, C.R. Acad. Sc. Paris 301 (1985), 631–633.

    MATH  MathSciNet  Google Scholar 

  12. _____, Complex interpolation of Hp spaces on product domains, preprint.

    Google Scholar 

  13. S. Janson, P. Jones, Interpolation between Hp spaces: the complex method, J. Funct. Anal. 42 (1982), 58–80.

    CrossRef  MathSciNet  Google Scholar 

  14. M. Milman, Fourier type and complex interpolation, Proc. Amer. Math. Soc. 89 (1983), 246–248.

    CrossRef  MATH  MathSciNet  Google Scholar 

  15. N. Riviere, Interpolation theory in s-Banach spaces, Thesis, Univ. of Chicago, 1966.

    Google Scholar 

  16. J.D. Stafney, Analytic interpolation of certain multiplier spaces, Pacific J. Math. 32 (1970), 241–248.

    CrossRef  MATH  MathSciNet  Google Scholar 

  17. T. Wolff, A note on interpolation spaces, Lecture Notes in Math. 908, Springer Verlag, 1982, pp 199–204.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Alvarez, J., Milman, M. (1988). Interpolation of tent spaces and applications. In: Cwikel, M., Peetre, J., Sagher, Y., Wallin, H. (eds) Function Spaces and Applications. Lecture Notes in Mathematics, vol 1302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078860

Download citation

  • DOI: https://doi.org/10.1007/BFb0078860

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18905-3

  • Online ISBN: 978-3-540-38841-8

  • eBook Packages: Springer Book Archive