Skip to main content
Log in

Metrical and topological properties of a generalized Libera transform

  • Published:
Archiv der Mathematik 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. D. M. Campbell andV. Singh, Valence properties of the solution of a differential equation. Pacific. J. Math.84, 29–33 (1979).

    Google Scholar 

  2. P.Duren, Univalent functions. Berlin-Heidelberg-New York-Tokyo 1984.

  3. R. J. Libera, Some classes of regular univalent functions. Proc. Amer. Math. Soc.16, 755–758 (1965).

    Google Scholar 

  4. H. C. Rhaly Jr., An averaging operator on the Dirichlet space. J. Math. Anal. Appl.98, 555–561 (1984).

    Google Scholar 

  5. S.Ruscheweyh, Convolutions in geometric function theory. Séminaire de Mathématiques Supérieures, NATO Advanced Study Institute Presses de l'Université de Montréal38 (1982).

  6. S. Ruscheweyh, New criteria for univalent functions. Proc. Amer. Math. Soc.49, 109–115 (1975).

    Google Scholar 

  7. S. Ruscheweyh andT. B. Sheil-Small, Hadamard products of schlicht functions and the Pólya-Schoenberg conjecture. Comment. Math. Helv.48, 119–135 (1973).

    Google Scholar 

  8. T. B. Sheil-Small, The Hadamard product and linear transformations of classes of analytic functions. J. Analyse Math.34, 204–239 (1978).

    Google Scholar 

  9. A. G. Siskakis, Composition semigroups and the Cesàro operator onH p. J. London Math. Soc. (2)36, 153–164 (1987).

    Google Scholar 

  10. A. G. Siskakis, Semigroups of composition operators in Bergman spaces. Bull. Austral. Math. Soc.35, 397–406 (1987).

    Google Scholar 

  11. K.Zhu, Operator theory in function spaces. Pure and Applied Mathematics139, New York-Basel 1990.

  12. K. Zhu, Bloch type spaces of analytic functions. Rocky Mountain J. Math.23, 1143–1177 (1993).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was carried out while visiting at the University of Thessaloniki under the Erasmus program, project No. ICP-93-D-1260/17.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Danikas, N., Ruscheweyh, S. & Siskakis, A.G. Metrical and topological properties of a generalized Libera transform. Arch. Math 63, 517–524 (1994). https://doi.org/10.1007/BF01202067

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01202067

Keywords

Navigation