Skip to main content
SpringerLink
Log in

N.B. - Some of these problems were prepared already for the 1982 conference

  • Problem Section
  • Conference paper
  • First Online:
Interpolation Spaces and Allied Topics in Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1070))

  • 507 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. Arazy, J., Cwikel, M.: A new characterization of the interpolation spacec between Lp and Lq. Technion pre-print, 1983.

    Google Scholar 

  2. Haagerup, U.: unpublished (Odense) pre-print.

    Google Scholar 

  3. Størmer, E.: Regular Abelian Banach algebras of linear maps of operator algebras. J. Funct. Anal. 37, 331–373 (1980).

    Article  MathSciNet  MATH  Google Scholar 

References

  1. Janson, S.: Minimal and maximal methods in interpolation. J. Fubctional Anal. 44, 50–73 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  2. Wolff, T.: A note on interpolation spaces. In: Proceedings of Conference on Harmonic Analysis, Minneapolis, 1981. Lecture Notes in Mathematics 908, pp. 199–204. Berlin-Heidelberg-New York: Springer-Verlag 1982.

    Google Scholar 

  3. Milman, M: Fourier type and complex interpolation. Proc. Amer. Math. Soc. (to appear).

    Google Scholar 

  4. Milman, M: Complex interpolation and geometry of Banach spaces. Ann. Mat. Pura Appl. (to appear).

    Google Scholar 

  5. De Vore, R., Scherer, K.: Interpolation of linear operators on Sobolev spaces. Ann. Math. 109, 583–599 (1979).

    Article  MathSciNet  MATH  Google Scholar 

  6. Calderón, C. P., Milman, M.: Interpolation of Sobolev spaces. The real method. Indiana Univ. Math. J. (to appear).

    Google Scholar 

  7. Calderón, C. P., Milman, M.: to appear.

    Google Scholar 

  8. Lorentz, G. G., Shimogaki, T.: Interpolation theorems for the pairs of spaces (Lp,L∞) and (L1,Lq). Trans. Amer. Math. Soc. 159, 207–221 (1971).

    MathSciNet  MATH  Google Scholar 

  9. Shimogaki, T.: An interpolation theorem on Banach function spaces. Studia Math. 31, 233–240 (1968).

    MathSciNet  MATH  Google Scholar 

  10. Maligranda, L.: A generalization of the Shimogaki theorem. Studia Math. 71, 69–83 (1981).

    MathSciNet  MATH  Google Scholar 

  11. Milman, M.: Interpolation of some concrete scales of spaces. Technical report. Lund 1982.

    Google Scholar 

  12. Milman, M.: Rearrangements of BMO functions and interpolation. These Proceedings.

    Google Scholar 

References

  1. Arazy, J.: Some aspects of the minimal Möbius-invariant space of analytic functions in the unit disc. These Proceedings.

    Google Scholar 

  2. Gustavsson, J.: Interpolation of metric spaces. Technical report. Lund 1971.

    Google Scholar 

  3. Gustavsson, J., Peetre, J.: Properties of the L function. Studia Math. 84, 105–121 (1982).

    MathSciNet  MATH  Google Scholar 

  4. Janson, S., Nilsson, P., Peetre, J.: Notes on Wolff's note on interpolation spaces. Proc. London Math. Soc. 48, ???-??? (1984).

    Google Scholar 

  5. Janson, S., Wolff, T.: Schatten classes and commutators of singular integral operators. Ark. Mat. 20, 301–310 (1982).

    Article  MathSciNet  MATH  Google Scholar 

  6. Jawerth, B., Torchinsky, A.: Local sharp maximal functions. Advances Math. (to appear).

    Google Scholar 

  7. Krugljak, N. Ja.: Imbedding theorems, interpolation of operators and the Nash-Moser implicit function theorem. Dokl. Akad Nauk SSSR 226, 771–773 (1976) [Russian].

    MathSciNet  Google Scholar 

  8. Peetre, J.: Invariant function spaces connected with the holomorphic discrete series. (Conference Functional Analysis and Approximation, Oberwolfach, July 31–Aug. 6, 1983). Technical report. Lund 1983.

    Google Scholar 

  9. Peetre, J.: Interpolation of Lipschitz operators and metric spaces. Mathematica (Cluj) 12, 325–334 (1970).

    MathSciNet  MATH  Google Scholar 

  10. G. Sparr, Interpolation of several Banach spaces. Ann. Mat. Pura Appl. 99, 247–316 (1976).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Haifa

    J. Arazy

Authors
  1. J. Arazy
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Michael Cwikel Jaak Peetre

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Arazy, J. (1984). N.B. - Some of these problems were prepared already for the 1982 conference. In: Cwikel, M., Peetre, J. (eds) Interpolation Spaces and Allied Topics in Analysis. Lecture Notes in Mathematics, vol 1070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099105

Download citation

  • DOI: https://doi.org/10.1007/BFb0099105

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13363-6

  • Online ISBN: 978-3-540-38913-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation