Skip to main content

Hardy spaces and BMO on Riemann surfaces

  • Conference paper
  • First Online:
Prospects in Complex Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1468))

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. Earle, C. J. and Marden, A., On Poincare series with application to H p spaces on bordered Riemann surfaces, Illinois J. Math. 13 (1969), 202–219.

    MathSciNet  MATH  Google Scholar 

  2. Fisher, S., “Function Theory on Planar Domains,” John Wiley & Sons, New York-Chichester-Brisbane-Tronto-Singapore, 1983.

    Google Scholar 

  3. Fefferman, C. and Stein, E. M., H p spaces of several variables, Acts Math. 129 (1972), 137–193.

    Article  MathSciNet  MATH  Google Scholar 

  4. Garnett, J, “Bounded Analytic Functions,” Academic Press, New York, 1981.

    MATH  Google Scholar 

  5. Gehring, F. W., “Characteristic properties of quasidisks,” Séminaire de Mathématiques Supérieures, Les Presses de l'Université de Montréal, 1982.

    Google Scholar 

  6. Gotoh, Y., On BMO spaces on Riemann surfaces (in Japanese), Master thesis at Kyoto University (1985).

    Google Scholar 

  7. Heins, M, “Hardy classes on Riemann surfaces.,” Lecture Notes in Math. No 98, Springer, Berlin, 1969.

    MATH  Google Scholar 

  8. Metzger, T. A., Bounded mean oscillation and Riemann surfaces, in “Bounded Mean Oscillation in Complex Analysis,” University of Joensuu Publications in Science vol. 14, 1989, pp. 79–100.

    MATH  Google Scholar 

  9. Reimann H. M. and Rychener, T., “Functionen beschränkter mittelerer Oszillation,” Lecture Notes in Math. 487, Springer-Verlag, Berlin-Heidelberg-New York, 1975.

    Book  MATH  Google Scholar 

  10. Sario, L. and Rodin, B., “Principal Functions,” Van Nostrand Co., Inc., Princeton, N. J., 1968.

    MATH  Google Scholar 

  11. Sario, L. and Oikawa, K., “Capacity Functions,” Springer, Berlin, 1969.

    Book  MATH  Google Scholar 

  12. Shiga, H., On the boundary of H p classes (in Japanese), RIMS Kōkyuroku 366 (1979), 30–47.

    Google Scholar 

  13. Shiga, H., On the boundary values of analytic functions on bordered Riemann surfaces, Acta Human. Sci. Univ. Sangyo Kyotien. Natur. Sci. Ser. 9 (1980), 11–28.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Junjiro Noguchi Takeo Ohsawa

Additional information

Dedicated to Professor Tatsuo Fuji'i'e on his 60th birthday

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag

About this paper

Cite this paper

Shiga, H. (1991). Hardy spaces and BMO on Riemann surfaces. In: Noguchi, J., Ohsawa, T. (eds) Prospects in Complex Geometry. Lecture Notes in Mathematics, vol 1468. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086188

Download citation

  • DOI: https://doi.org/10.1007/BFb0086188

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54053-3

  • Online ISBN: 978-3-540-47370-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics