Koenigs functions, quasicircles and BMO
Juha Heinonen and Steffen Rohde
Source: Duke Math. J. Volume 78, Number 2
(1995), 301-313.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077285748
Mathematical Reviews number (MathSciNet): MR1333502
Zentralblatt MATH identifier: 0834.30020
Digital Object Identifier: doi:10.1215/S0012-7094-95-07813-2
References
[B] A. F. Beardon, Iteration of rational functions, Graduate Texts in Mathematics, vol. 132, Springer-Verlag, New York, 1991.
Mathematical Reviews (MathSciNet): MR92j:30026
Zentralblatt MATH: 0742.30002
[BP] A. F. Beardon and Ch. Pommerenke, The Poincaré metric of plane domains, J. London Math. Soc. (2) 18 (1978), no. 3, 475–483.
Mathematical Reviews (MathSciNet): MR80a:30020
Zentralblatt MATH: 0399.30008
Digital Object Identifier: doi:10.1112/jlms/s2-18.3.475
[CG] L. Carleson and T. W. Gamelin, Complex dynamics, Universitext: Tracts in Mathematics, Springer-Verlag, New York, 1993.
Mathematical Reviews (MathSciNet): MR94h:30033
Zentralblatt MATH: 0782.30022
[D] A. Douady, Disques de Siegel et anneaux de Herman, Astérisque (1987), no. 152-153, 4, 151–172 (1988).
Mathematical Reviews (MathSciNet): MR89g:30049
Zentralblatt MATH: 0638.58023
[F] J. L. Fernández, Domains with strong barrier, Rev. Mat. Iberoamericana 5 (1989), no. 1-2, 47–65.
Mathematical Reviews (MathSciNet): MR91j:30016
Zentralblatt MATH: 0699.30020
[FHM] J. L. Fernández, J. Heinonen, and O. Martio, Quasilines and conformal mappings, J. Analyse Math. 52 (1989), 117–132.
Mathematical Reviews (MathSciNet): MR90a:30017
Zentralblatt MATH: 0677.30012
Digital Object Identifier: doi:10.1007/BF02820475
[G] M. J. González, Uniformly perfect sets, Green's function, and fundamental domains, Rev. Mat. Iberoamericana 8 (1992), no. 2, 239–269.
Mathematical Reviews (MathSciNet): MR93k:30029
Zentralblatt MATH: 0766.30039
[Got] Y. Gotoh, On the composition of functions of bounded mean oscillation with multivalent analytic functions, J. Math. Kyoto Univ. 29 (1989), no. 2, 309–315.
Mathematical Reviews (MathSciNet): MR92c:30028
Zentralblatt MATH: 0701.30033
Project Euclid: euclid.kjm/1250520268
[HK] J. Heinonen and P. Koskela, Weighted Sobolev inequalities and quasiregular mappings, to appear in Math. Scand.
Mathematical Reviews (MathSciNet): MR1379269
[He] M. Herman, Are there critical points on the boundaries of singular domains? Comm. Math. Phys. 99 (1985), no. 4, 593–612.
Mathematical Reviews (MathSciNet): MR86j:58067
Zentralblatt MATH: 0587.30040
Digital Object Identifier: doi:10.1007/BF01215911
Project Euclid: euclid.cmp/1103942842
[Hi] A. Hinkkanen, Julia sets of rational functions are uniformly perfect, Math. Proc. Cambridge Philos. Soc. 113 (1993), no. 3, 543–559.
Mathematical Reviews (MathSciNet): MR94b:58084
Zentralblatt MATH: 0785.30012
Digital Object Identifier: doi:10.1017/S0305004100076192
[J] P. W. Jones, Extension theorems for BMO, Indiana Univ. Math. J. 29 (1980), no. 1, 41–66.
Mathematical Reviews (MathSciNet): MR81b:42047
Zentralblatt MATH: 0432.42017
Digital Object Identifier: doi:10.1512/iumj.1980.29.29005
[MR] R. Mañé and L. F. da Rocha, Julia sets are uniformly perfect, Proc. Amer. Math. Soc. 116 (1992), no. 1, 251–257.
Mathematical Reviews (MathSciNet): MR92k:58229
Zentralblatt MATH: 0763.30010
Digital Object Identifier: doi:10.2307/2159321
[MV] O. Martio and J. Väisälä, Elliptic equations and maps of bounded length distortion, Math. Ann. 282 (1988), no. 3, 423–443.
Mathematical Reviews (MathSciNet): MR89m:35062
Zentralblatt MATH: 0632.35021
Digital Object Identifier: doi:10.1007/BF01460043
[N] R. Nevanlinna, Eindeutige analytische Funktionen, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Bd XLVI, Springer-Verlag, Berlin, 1953.
Mathematical Reviews (MathSciNet): MR15,208c
Zentralblatt MATH: 0050.30302
[P1] Ch. Pommerenke, Uniformly perfect sets and the Poincaré metric, Arch. Math. (Basel) 32 (1979), no. 2, 192–199.
Mathematical Reviews (MathSciNet): MR80j:30073
Zentralblatt MATH: 0393.30005
Digital Object Identifier: doi:10.1007/BF01238490
[P2] Ch. Pommerenke, On composition sequences in the unit disk, Michigan Math. J. 41 (1994), no. 2, 407–414.
Mathematical Reviews (MathSciNet): MR95d:30042
Zentralblatt MATH: 0812.30010
Digital Object Identifier: doi:10.1307/mmj/1029005005
Project Euclid: euclid.mmj/1029005005
[Re] H. M. Reimann, Functions of bounded mean oscillation and quasiconformal mappings, Comment. Math. Helv. 49 (1974), 260–276.
Mathematical Reviews (MathSciNet): MR50:13513
Zentralblatt MATH: 0289.30027
Digital Object Identifier: doi:10.1007/BF02566734
[RR] H. M. Reimann and T. Rychener, Funktionen beschränkter mittlerer Oszillation, Lecture Notes in Mathematics, vol. 487, Springer-Verlag, Berlin, 1975.
Mathematical Reviews (MathSciNet): MR58:23564
Zentralblatt MATH: 0324.46030
[Ri] S. Rickman, Quasiregular mappings, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 26, Springer-Verlag, Berlin, 1993.
Mathematical Reviews (MathSciNet): MR95g:30026
Zentralblatt MATH: 0816.30017
[S] N. Steinmetz, Rational iteration, de Gruyter Studies in Mathematics, vol. 16, Walter de Gruyter & Co., Berlin, 1993.
Mathematical Reviews (MathSciNet): MR94h:30035
Zentralblatt MATH: 0773.58010
[Y] J.-C. Yoccoz, Theoreme de Siegel, Nombres de Brjuno et polynomes quadratiques, preprint, 1988.
Mathematical Reviews (MathSciNet): MR1367353
Duke Mathematical Journal
