Skip to main content
Log in

Derivatives of close-to-convex functions, integral means and bounded mean oscillation

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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.

References

  1. Baernstein, A.: Integral means, univalent functions and circular symmetrization. Acta Math.133, 139–169 (1974)

    Google Scholar 

  2. Cima, J., Schober, G.: Analytic functions with bounded mean oscillation and logarithms ofH p functions. Math. Z.151, 295–300 (1976)

    Google Scholar 

  3. Duren, P.: Theory ofH p Spaces. New York-London: Academic Press 1970

    Google Scholar 

  4. Fefferman, C., Stein, E.:H p spaces of several variables. Acta Math.129, 137–193 (1972)

    Google Scholar 

  5. Goodman, A.: On close-to-convex functions of higher order. Ann. Univ. Sci. Budapest Eötvös Sect. Math.15, 17–30 (1972)

    Google Scholar 

  6. Hardy, G., Littlewood, J., Pólya, G.: Inequalities, Second edition. London-Cambridge: Cambridge University Press 1952

    Google Scholar 

  7. Leung, Y.: Integral means of the derivatives of some univalent functions. Bull. London Math. Soc.11, 289–294 (1979)

    Google Scholar 

  8. Lohwater, A., Piranian, G., Rudin, W.: The derivative of a schlicht function. Math. Scand.3, 103–106 (1955)

    Google Scholar 

  9. Noonan, J.: On close-to-convex functions of order β. Pacific J. Math.44, 263–280 (1973)

    Google Scholar 

  10. Pommerenke, C.: Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation. Comment. Math. Helv.52, 591–602 (1977)

    Google Scholar 

  11. Schober, G.: Univalent Function-Selected Topics. Lecture Notes in Mathematics478. Berlin-Heidelberg-New York: Springer 1975

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brown, J.E. Derivatives of close-to-convex functions, integral means and bounded mean oscillation. Math Z 178, 353–358 (1981). https://doi.org/10.1007/BF01214872

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01214872

Navigation