Rectifiability in Teichmüller theory

KARI Astala; Michel Zinsmeister

Banach Center Publications (1995)

  • Volume: 31, Issue: 1, page 45-52
  • ISSN: 0137-6934

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Astala, KARI, and Zinsmeister, Michel. "Rectifiability in Teichmüller theory." Banach Center Publications 31.1 (1995): 45-52. <http://eudml.org/doc/262825>.

@article{Astala1995,
author = {Astala, KARI, Zinsmeister, Michel},
journal = {Banach Center Publications},
keywords = {Fuchsian groups; quasi-Fuchsian groups; universal Teichmüller space},
language = {eng},
number = {1},
pages = {45-52},
title = {Rectifiability in Teichmüller theory},
url = {http://eudml.org/doc/262825},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Astala, KARI
AU - Zinsmeister, Michel
TI - Rectifiability in Teichmüller theory
JO - Banach Center Publications
PY - 1995
VL - 31
IS - 1
SP - 45
EP - 52
LA - eng
KW - Fuchsian groups; quasi-Fuchsian groups; universal Teichmüller space
UR - http://eudml.org/doc/262825
ER -

References

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  1. [1] L. Ahlfors and L. Bers, Riemann's mapping theorem for variable metrics, Ann. of Math. 72 (1960), 385-404. Zbl0104.29902
  2. [2] B. Bojarski, Generalized solutions of a system of differential equations of first order and elliptic type with discontinuous coefficients, Mat. Sb. 85 (1957), 451-503 (in Russian). 
  3. [3] R. Mañé, P. Sad and D. Sullivan, On the dynamics of rational maps, Ann. Sci. Ecole Norm. Sup. 16 (1983), 193-217. Zbl0524.58025
  4. [4] G. David, Opérateurs intégraux singuliers sur certaines courbes du plan complexe, ibid. 17 (1984), 157-189. Zbl0537.42016
  5. [5] M. Zinsmeister, Domaines de Lavrentiev, Publ. Math. d'Orsay, 1985. 
  6. [6] S. Semmes, Quasiconformal mappings and chord-arc curves, Trans. Amer. Math. Soc. 306 (1988), 233-263. Zbl0653.30008
  7. [7] K. Astala and M. Zinsmeister, Teichmüller spaces and BMOA, Math. Ann. 289 (1991), 613-625. Zbl0896.30028
  8. [8] L. Carleson, On mappings, conformal at the boundary, J. Analyse Math. 19 (1967), 1-13. Zbl0186.13701
  9. [9] B. Dahlberg, On the absolute continuity of elliptic measures, Amer. J. Math. 108 (1986), 1119-1138. Zbl0644.35032
  10. [10] R. Fefferman, C. Kenig and J. Pipher, The theory of weights and the Dirichlet problem for elliptic equations, to appear. Zbl0770.35014
  11. [11] D. Jerison and C. Kenig, Boundary behavior of harmonic functions in NTA domains, Adv. in Math. 46 (1982), 80-147. Zbl0514.31003
  12. [12] S. Agard, A geometric proof of Mostow rigidity theorem for groups of divergence type, Acta Math. 151 (1983), 231-252. Zbl0532.30038
  13. [13] R. Bowen, Hausdorff dimension of quasicircles, Publ. Math. IHES. Zbl0439.30032
  14. [14] D. Ruelle, Repellers for real analytic maps, Ergodic Theory Dynamical Systems 2 (1982), 99-107. Zbl0506.58024
  15. [15] K. Astala and M. Zinsmeister, Holomorphic families of quasifuchsian groups, ibid., to appear. Zbl0801.30035

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