previous :: next
Linear dilatation of quasiconformal maps in space
Pasi Seittenranta
Source: Duke Math. J. Volume 91, Number 1
(1998), 1-16.
First Page:
Show
Hide
Primary Subjects:
30C65
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/1077231886
Mathematical Reviews number (MathSciNet): MR1487976
Zentralblatt MATH identifier: 0943.30012
Digital Object Identifier: doi:10.1215/S0012-7094-98-09101-3
References
[Ag] S. Agard, Distortion theorems for quasiconformal mappings, Ann. Acad. Sci. Fenn. Ser. A I No. 413 (1968), 12.
Mathematical Reviews (MathSciNet): MR36:5340
Zentralblatt MATH: 0159.37202
[AVV1] G. D. Anderson, M. K. Vamanamurthy, and M. Vuorinen, Dimension-free quasiconformal distortion in $n$-space, Trans. Amer. Math. Soc. 297 (1986), no. 2, 687–706.
Mathematical Reviews (MathSciNet): MR87j:30039
Zentralblatt MATH: 0632.30022
Digital Object Identifier: doi:10.2307/2000548
[AVV2] G. D. Anderson, M. K. Vamanamurthy, and M. Vuorinen, Sharp distortion theorems for quasiconformal mappings, Trans. Amer. Math. Soc. 305 (1988), no. 1, 95–111.
Mathematical Reviews (MathSciNet): MR89c:30049
Zentralblatt MATH: 0639.30019
Digital Object Identifier: doi:10.2307/2001042
JSTOR: links.jstor.org
[AVV3] G. D. Anderson, M. K. Vamanamurthy, and M. Vuorinen, Functional inequalities for the Teichmüller ring capacity, Israel J. Math. 88 (1994), no. 1-3, 367–380.
Mathematical Reviews (MathSciNet): MR96a:30017
Zentralblatt MATH: 0831.30011
Digital Object Identifier: doi:10.1007/BF02937519
[AVV4] G. D. Anderson, M. K. Vamanamurthy, and M. Vuorinen, Conformal invariants, inequalities, and quasiconformal maps, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons Inc., New York, 1997.
Mathematical Reviews (MathSciNet): MR98h:30033
Zentralblatt MATH: 0885.30012
[B] A. F. Beardon, The geometry of discrete groups, Graduate Texts in Mathematics, vol. 91, Springer-Verlag, New York, 1983.
Mathematical Reviews (MathSciNet): MR85d:22026
Zentralblatt MATH: 0528.30001
[G] F. W. Gehring, Rings and quasiconformal mappings in space, Trans. Amer. Math. Soc. 103 (1962), 353–393.
Mathematical Reviews (MathSciNet): MR25:3166
Zentralblatt MATH: 0113.05805
Digital Object Identifier: doi:10.2307/1993834
JSTOR: links.jstor.org
[LVV] O. Lehto, K. I. Virtanen, and J. Väisälä, Contributions to the distortion theory of quasiconformal mappings, Ann. Acad. Sci. Fenn. Ser. A I No. 273 (1959), 14.
Mathematical Reviews (MathSciNet): MR23:A321
Zentralblatt MATH: 0090.05102
[L] J. Luukkainen, On the relative Schoenflies theorem, Ann. Acad. Sci. Fenn. Ser. A I Math. 18 (1993), no. 1, 31–44.
Mathematical Reviews (MathSciNet): MR94d:30036
Zentralblatt MATH: 0781.30016
[MRV] O. Martio, S. Rickman, and J. Väisälä, Distortion and singularities of quasiregular mappings, Ann. Acad. Sci. Fenn. Ser. A I No. 465 (1970), 13.
Mathematical Reviews (MathSciNet): MR42:1995
Zentralblatt MATH: 0197.05702
[M] A. Mori, On quasi-conformality and pseudo-analyticity, Trans. Amer. Math. Soc. 84 (1957), 56–77.
Mathematical Reviews (MathSciNet): MR18,646c
Zentralblatt MATH: 0077.07902
Digital Object Identifier: doi:10.2307/1992891
JSTOR: links.jstor.org
[SF] Dao-shing Shah and Le-le Fan, On the modulus of quasi-conformal mapping, Sci. Record (N.S.) 4 (1960), 323–328.
Mathematical Reviews (MathSciNet): MR25:195
Zentralblatt MATH: 0098.28102
[TV1] P. Tukia and J. Väisälä, Quasisymmetric embeddings of metric spaces, Ann. Acad. Sci. Fenn. Ser. A I Math. 5 (1980), no. 1, 97–114.
Mathematical Reviews (MathSciNet): MR82g:30038
Zentralblatt MATH: 0403.54005
[TV2] P. Tukia and J. Väisälä, Lipschitz and quasiconformal approximation and extension, Ann. Acad. Sci. Fenn. Ser. A I Math. 6 (1981), no. 2, 303–342 (1982).
Mathematical Reviews (MathSciNet): MR84a:57016
Zentralblatt MATH: 0448.30021
[TV3] P. Tukia and J. Väisälä, Extension of embeddings close to isometries or similarities, Ann. Acad. Sci. Fenn. Ser. A I Math. 9 (1984), 153–175.
Mathematical Reviews (MathSciNet): MR85i:30048
Zentralblatt MATH: 0533.30020
[TV4] P. Tukia and J. Väisälä, A remark on $1$-quasiconformal maps, Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985), 561–562.
Mathematical Reviews (MathSciNet): MR86i:30025
Zentralblatt MATH: 0533.30019
[Vä1] J. Väisälä, Lectures on $n$-dimensional quasiconformal mappings, Lecture Notes in Math., Springer-Verlag, Berlin, 1971.
Mathematical Reviews (MathSciNet): MR56:12260
Zentralblatt MATH: 0221.30031
[Vä2] J. Väisälä, Quasisymmetric embeddings in Euclidean spaces, Trans. Amer. Math. Soc. 264 (1981), no. 1, 191–204.
Mathematical Reviews (MathSciNet): MR82i:30031
Zentralblatt MATH: 0456.30018
Digital Object Identifier: doi:10.2307/1998419
JSTOR: links.jstor.org
[Vä3] J. Väisälä, Bi-Lipschitz and quasisymmetric extension properties, Ann. Acad. Sci. Fenn. Ser. A I Math. 11 (1986), no. 2, 239–274.
Mathematical Reviews (MathSciNet): MR88b:54012
Zentralblatt MATH: 0607.30019
[Vu1] M. Vuorinen, On the distortion of $n$-dimensional quasiconformal mappings, Proc. Amer. Math. Soc. 96 (1986), no. 2, 275–283.
Mathematical Reviews (MathSciNet): MR87f:30060
Zentralblatt MATH: 0617.30027
Digital Object Identifier: doi:10.2307/2046167
JSTOR: links.jstor.org
[Vu2] M. Vuorinen, Conformal geometry and quasiregular mappings, Lecture Notes in Mathematics, vol. 1319, Springer-Verlag, Berlin, 1988.
Mathematical Reviews (MathSciNet): MR89k:30021
Zentralblatt MATH: 0646.30025
[Vu3] M. Vuorinen, Quadruples and spatial quasiconformal mappings, Math. Z. 205 (1990), no. 4, 617–628.
Mathematical Reviews (MathSciNet): MR92a:30021
Zentralblatt MATH: 0692.30018
Digital Object Identifier: doi:10.1007/BF02571267
[Vu4] M. Vuorinen, Conformally invariant extremal problems and quasiconformal maps, Quart. J. Math. Oxford Ser. (2) 43 (1992), no. 172, 501–514.
Mathematical Reviews (MathSciNet): MR93i:30020
Zentralblatt MATH: 0766.30014
previous :: next
Duke Mathematical Journal
