Skip to main content
Log in

A note on Mori's theorem ofK-quasiconformal mappings

  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

The distortion problem ofK-quasiconformal mappings of the unit diskD={z∶|z|<1} onto itself with the original fixed is discussed, a new estimate is given.

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.

Similar content being viewed by others

References

  1. Ahlfors, L.V.,On quasiconformal mappings, J. d'Analyse Math.,3 (1954), 1–58.

    Article  MathSciNet  Google Scholar 

  2. Lehto, O. and Virtanen, K.I., Quasiconformal mappings in the plane, Springer-Verlag, Herlin Heidelberg, 1973.

    MATH  Google Scholar 

  3. Mori, A.,On an absolute constant in the theory of quasiconformal mappings, J. Math. Soc. Japan,8 (1956), 150–166.

    Article  Google Scholar 

  4. Qiu, S.,On Agard-Gehring angular distortion theorem of quasiconformal mappings, Science Bulletin,33 (1988).

  5. Qu, H.,An improvement of Mori's constant in the theory of quasiconformal mappings, J. of Tongji Univ.,3 (1985), 75–85.

    Google Scholar 

  6. Wang, C.,A sharp form of Mori's theorem on Q-mappings, Kexue Jilu,4 (1960), 334–337.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project supported by the National Natural Science Foundation of China.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhong, L., Guizhen, C. A note on Mori's theorem ofK-quasiconformal mappings. Acta Mathematica Sinica 9, 55–62 (1993). https://doi.org/10.1007/BF02559983

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02559983

Keywords

Navigation