Skip to main content

Carleson-sets and fixed-points of schlicht functions

  • II Section Function Theory Of One Complex Variable
  • Conference paper
  • First Online:
Romanian-Finnish Seminar on Complex Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 743))

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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. Beurling, A.: Ensembles exceptionnels. Acta Math. 72(1940), 1–13.

    Article  MathSciNet  MATH  Google Scholar 

  2. Carleson, L.: Sets of uniqueness for functions regular in the unit circle. Acta Math. 87(1952), 325–345.

    Article  MathSciNet  MATH  Google Scholar 

  3. Caughran, J.G.: Two results concerning the zeros of functions with finite Dirichlet integral. Can.J.Math. 21(1969), 312–316.

    Article  MathSciNet  MATH  Google Scholar 

  4. Caveny, D.J. and W.P. Novinger: Boundary zeros of functions with derivative in Hp. Proc.Am.Math.Soc. 25(1970), 776–780.

    MathSciNet  MATH  Google Scholar 

  5. Eenigenburg, P.J. and F.R. Keogh: The Hardy class of some univalent functions and their derivatives. Mich.Math.J. 17(1970), 335–346.

    Article  MathSciNet  MATH  Google Scholar 

  6. Hardy, G.H. and J.E. Littlewood: Some properties of fractional integrals II. Math. Zeitschr. 34(1931), 403–439.

    Article  MathSciNet  MATH  Google Scholar 

  7. Hornich, H.: Ein Banachraum analytischer Funktionen in Zusammenhang mit den schlichten Funktionen. Monatsh.Math. 73(1969), 36–45.

    Article  MathSciNet  MATH  Google Scholar 

  8. — Über einen Banachraum analytischer Funktionen. Man.Math. 1(1969), 79–86.

    Article  MathSciNet  MATH  Google Scholar 

  9. — Über die Fixpunkte der schlichten Funktionen. Rend.Ist.di Matem. Univ. Trieste 2(1970), 54–58.

    MathSciNet  MATH  Google Scholar 

  10. Metzger, T.A.: On vanishing Eichler periods and Carleson-sets. (to appear).

    Google Scholar 

  11. Nelson, J.D.: A characterisation of zero-sets for A. Mich. Math.J. 18(1971), 141–147.

    Article  MATH  Google Scholar 

  12. Pommerenke, Ch.: On automorphic forms and Carleson-sets. (to appear).

    Google Scholar 

  13. Stegbuchner, H.: Einige Bemerkungen über die Fixpunkte der schlichten Funktionen. Sb.Österr.Akad.Wiss., math.-nat.Kl., Abt.II (in Druck).

    Google Scholar 

  14. — Maß, Dimension und Kapazität von Carleson-Mengen. (to appear).

    Google Scholar 

  15. — Nullstellen analytischer Funktionen und verallgemeinerte Carleson-Mengen I und II. Sb.Österr.Akad.Wiss., math.-nat.Kl., Abt.II, 183.Bd. (1974),463–503 und 184.Bd. (1975),83–97.

    MathSciNet  MATH  Google Scholar 

  16. — Tangentiale Nullstellenfolge holomorpher Funktionen mit vorgegebenen Stetigkeitsmodul ω(δ). Sb.Österr.Akad.Wiss., math.-nat.Kl.,Abt.II (in Druck).

    Google Scholar 

  17. Zinterhof, P.: Konstruktion von schlichten Funktionen mit unendlich vielen Fixpunkten. Rend.Ist.di Matem.Univ.Trieste 3(1971), 1–10.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Cabiria Andreian Cazacu Aurel Cornea Martin Jurchescu Ion Suciu

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Stegbuchner, H. (1979). Carleson-sets and fixed-points of schlicht functions. In: Cazacu, C.A., Cornea, A., Jurchescu, M., Suciu, I. (eds) Romanian-Finnish Seminar on Complex Analysis. Lecture Notes in Mathematics, vol 743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079510

Download citation

  • DOI: https://doi.org/10.1007/BFb0079510

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09550-7

  • Online ISBN: 978-3-540-34861-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics