Skip to main content

The complex method for interpolation of operators acting on families of Banach spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 779)

Keywords

  • Banach Space
  • Dirichlet Problem
  • Extremal Function
  • Subharmonic Function
  • Reflexive Banach Space

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   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
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. Beckner, W. Inequalities in Fourier Analysis, Ann. of Math. 102 (1975), pp. 159–182.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Calderón, A.P. Intermediate Spaces and Interpolation, the Complex Method, Studia Math. (1964), pp. 113–190.

    Google Scholar 

  3. Coifman, R., Cwikel, M., Rochberg, R., Sagher, Y., and Weiss, G. Complex Interpolation for Families of Banach Spaces, Proceedings of Symposia in Pure Mathematics, vol. 35, Part 2, A.M.S. publication (1979), pp. 269–282.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Dunford, N. and Schwartz, J.T. Linear Operators, Interscience Publishers, New York (1958).

    MATH  Google Scholar 

  5. Hardy, G.H., Littlewood, J.E. and Pólya, G. Inequalities, Cambridge Univ. Press, London (1934).

    MATH  Google Scholar 

  6. Stein, E.M. Interpolation of Linear Operators, Trans. Amer. Math. Soc., vol. 83, No. 2 (1956), pp. 482–492.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Weissler, F.B. Hypercontractive Estimates for Semigroups, Proceedings of Symposia in Pure Math., vol. 35, Part 1, A.M.S. publication (1979), pp. 159–162.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Wiener, N. and Akutowicz, E.J. A Factorization of Positive Hermitian Matrices, J. Math. and Mech. 8(1959), pp. 111–120.

    MathSciNet  MATH  Google Scholar 

  9. Wilansky, A. Functional Analysis, Blaisdell Publ. Co., New York (1964).

    MATH  Google Scholar 

  10. Zygmund, A. Trigonometric Series, Cambridge Univ. Press, Cambridge (1959).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Coifman, R.R., Rochberg, R., Weiss, G., Cwikel, M., Sagher, Y. (1980). The complex method for interpolation of operators acting on families of Banach spaces. In: Benedetto, J.J. (eds) Euclidean Harmonic Analysis. Lecture Notes in Mathematics, vol 779. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087670

Download citation

  • DOI: https://doi.org/10.1007/BFb0087670

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09748-8

  • Online ISBN: 978-3-540-38602-5

  • eBook Packages: Springer Book Archive