Skip to main content
Log in

Abstract

Using a recent result of Mañé [Ma] we give a classification of polynomials whose Fatou components are John domains.

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

  • [B] A. Beurling.The collected works of Arne Beurling. Birkhäuser I (1989).

  • [C,G] L. Carleson and T. W. Gamelin.Complex dynamics. Springer-Verlag, Universitext: Tracts in Mathematics (1993).

  • [C,J] L. Carleson and P.W. Jones.On coefficient problems for univalent functions and conformal dimensions. Duke Math. J. 66 (1992), 169–206.

    Google Scholar 

  • [D,H] A. Douady and J. Hubbard.Études dynamique des polynômes complexes. Publ. Math. Orsay (1984-02, 1985-04).

    Google Scholar 

  • [H] M. Herman, personal communication.

  • [J] P.W. Jones.On removable sets for Sobolev spaces in the plane, in Conference in honor of E.M. Stein, Princeton University Press (1993).

  • [Ma] R. Mañé.On a lemma of Fatou. Bol. Soc. Bras. Mat. 24 (1993), 1–12.

    Google Scholar 

  • [Mi] M. Misiurewicz.Absolutely continuous measures for certain maps of an interval. Publ. I.H.E.S. 53 (1981), 17–52.

    Google Scholar 

  • [N,V] R. Näkki and J. Väisälä.John disks. Expositiones Math. (1991), 3–43.

  • [P] Ch. Pommerenke.Uniformly perfect sets and the Poincaré metric. Arch. Math. 32 (1979), 192–199.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by NSF Grant DMS-8916968

About this article

Cite this article

Carleson, L., Jones, P.W. & Yoccoz, JC. Julia and John. Bol. Soc. Bras. Mat 25, 1–30 (1994). https://doi.org/10.1007/BF01232933

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01232933

Keywords

Navigation