Skip to main content
Log in

Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation

  • Published:
Commentarii Mathematici Helvetici

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literaturverzeichnis

  1. Ahlfors, L. V.,Quasiconformal reflections, Acta Math.,109 (1963), 291–301.

    Article  MATH  MathSciNet  Google Scholar 

  2. Ahlfors, L. V. undWeill, G.,A uniqueness theorem for Beltrami equations, Proc. Amer. Math. Soc.,13 (1962), 975–978.

    Article  MATH  MathSciNet  Google Scholar 

  3. Anderson, J. M., Clunie, J. undPommerenke, Ch.,On Bloch functions and normal functions, J. Reine Angew. Math., 270 (1974), 12–37.

    MATH  MathSciNet  Google Scholar 

  4. Baernstein, A. II,Univalent functions and the class BMO, to appear in Michigan Math. J.

  5. Becker, J.,Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen, J. Reine Angew. Math.255 (1972), 23–43.

    MATH  MathSciNet  Google Scholar 

  6. Carleson, L.,Interpolations by bounded analytic functions and the Corona problem, Ann. of Math.76 (1962), 547–559.

    Article  MathSciNet  Google Scholar 

  7. Cima, J. A. undSchober, G.,Analytic functions with bounded mean oscillation and logarithms of H p-functions, Math. Z.151 (1976), 295–300.

    Article  MATH  MathSciNet  Google Scholar 

  8. Duren, P. L.,Theory of H p spaces, Academic Press, New York 1970.

    MATH  Google Scholar 

  9. Fefferman, C. undStein, E. M.,H p spaces of several variables, Acta Math.129 (1972), 137–193.

    Article  MATH  MathSciNet  Google Scholar 

  10. Gaier, D.,Integralgleichungen erster Art und konforme Abbildung, Math. Z.147 (1976), 113–129.

    Article  MATH  MathSciNet  Google Scholar 

  11. Gehring, F. W. undHayman, W. K.,An inequality in the theory of conformal mapping, J. Math. Pures Appl. (9)41 (1962), 353–361.

    MATH  MathSciNet  Google Scholar 

  12. John, F. undNirenberg, L.,On functions of bounded mean oscillation, Comm. Pure Appl. Math.14 (1961), 415–426.

    MATH  MathSciNet  Google Scholar 

  13. Lavrent'ev, M.,Boundary problems in the theory of univalent functions (Russian); Mat. Sb. (N.S.)1 (1936), 815–844; Amer. Math. Soc. Translations Ser.2, 32, 1–35.

    MATH  Google Scholar 

  14. Pommerenke, Ch.,Linear-invariante Familien analytischer Funktionen, I. Math. Ann.155 (1964), 108–154.

    Article  MATH  MathSciNet  Google Scholar 

  15. Pommerenke, Ch.,On Bloch functions, J. London Math. Soc. (2)2 (1970), 689–695.

    MATH  MathSciNet  Google Scholar 

  16. Pommerenke, Ch.,Univalent functions, Vandenhoeck & Ruprecht, Göttingen, 1975.

    MATH  Google Scholar 

  17. Reimann, H. M. undRychener, T.,Funktionen beschränkter mittlerer Oszillation, Lecture Notes Math. Bd. 487, Springer-Verlag 1975.

  18. Sarason, D.,Functions of vanishing mean oscillation, Trans. Amer. Math. Soc.207 (1975), 391–405.

    Article  MATH  MathSciNet  Google Scholar 

  19. Warschawski, S. E.,On the differentiability at the boundary in conformal mapping, Proc. Amer. Math. Soc.12 (1961), 614–620.

    Article  MATH  MathSciNet  Google Scholar 

  20. Warschawski, S. E.,On Hölder continuity at the boundary in conformal maps, J. Math. Mech.18 (1968/69), 423–427.

    MathSciNet  Google Scholar 

  21. Warschawski, S. E. undSchober, G. E.,On conformal mapping of certain classes of Jordan domains, Arch. Rational Mech. Anal.22 (1966), 201–209.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Herrn Professor A. Pfluger zum 70. Geburtstag

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pommerenke, C. Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation. Commentarii Mathematici Helvetici 52, 591–602 (1977). https://doi.org/10.1007/BF02567392

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02567392

Navigation