Skip to main content

Algebras between L and H

  • Conference paper
  • First Online:
Spaces of Analytic Functions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 512))

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 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. R. G. Douglas, On the spectrum of Toeplitz and Wiener-Hopf operators, Abstract Spaces and Approximation (Proc. Conf. Oberwohlfach, 1968), Birkhäser, Basel, 1969, pp. 53–66.

    Google Scholar 

  2. S.-Y. A. Chang, A characterization of Douglas subalgebras, preprint.

    Google Scholar 

  3. D. E. Marshall, Subalgebras of L containing H, preprint.

    Google Scholar 

  4. J. Wermer, On algebras of continuous functions, Proc. Amer. Math. Soc. 4 (1953), 866–869.

    Article  MathSciNet  MATH  Google Scholar 

  5. K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall, Englewood Cliffs, N. J., 1962.

    MATH  Google Scholar 

  6. D. Sarason, Algebras of functions on the unit circle, Bull. Amer. Math. Soc. 79 (1973), 286–299.

    Article  MathSciNet  MATH  Google Scholar 

  7. R. G. Douglas and W. Rudin, Approximation by inner functions, Pacific J. Math. 31 (1969), 313–320.

    Article  MathSciNet  MATH  Google Scholar 

  8. A. M. Davie, T. W. Gamelin and J. Garnett, Distance estimates and pointwise bounded density, Trans. Amer. Math. Soc. 175 (1973), 37–68.

    Article  MathSciNet  MATH  Google Scholar 

  9. D. Sarason, Approximation of piecewise continuous functions by quotients of bounded analytic functions, Canadian J. Math. 24 (1972), 642–657.

    Article  MathSciNet  MATH  Google Scholar 

  10. D. Sarason, Functions of vanishing mean oscillation, Trans. Amer. Math. Soc., to appear.

    Google Scholar 

  11. T. Weight, Some subalgebras of L determined by their maximal ideal spaces, Bull. Amer. Math. Soc. 81 (1975), 192–194.

    Article  MathSciNet  MATH  Google Scholar 

  12. S. Axler, Some properties of H+L E , unpublished.

    Google Scholar 

  13. S.-Y. Chang, On the structure and characterization of some Douglas subalgebras, Amer. J. Math., to appear.

    Google Scholar 

  14. C. Fefferman and E. M. Stein, Hp spaces of several variables, Acta Math. 129 (1972), 137–193.

    Article  MathSciNet  MATH  Google Scholar 

  15. P. L. Duren, The Theory of Hp Spaces, Academic Press, New York, 1970.

    MATH  Google Scholar 

  16. S. Ziskind, Interpolating sequences and the Shilov boundary, to appear.

    Google Scholar 

  17. L. Carleson, Interpolations by bounded analytic functions and the corona problem, Ann. Math. 76 (1972), 547–559.

    Article  MathSciNet  MATH  Google Scholar 

  18. T. W. Gamelin, Uniform Algebras, Prentice-Hall, Englewood Cliffs, N. J., 1969.

    MATH  Google Scholar 

Download references

Authors

Editor information

Otto B. Bekken Bernt K. Øksendal Arne Stray

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Sarason, D. (1976). Algebras between L and H . In: Bekken, O.B., Øksendal, B.K., Stray, A. (eds) Spaces of Analytic Functions. Lecture Notes in Mathematics, vol 512. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080029

Download citation

  • DOI: https://doi.org/10.1007/BFb0080029

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07682-7

  • Online ISBN: 978-3-540-38201-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics