The Poisson extension of K -quasihomography on the unit circle

Jan Stankiewicz; Katarzyna Wilczek

Annales UMCS, Mathematica (2011)

  • Volume: 65, Issue: 2, page 203-216
  • ISSN: 2083-7402

Abstract

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In this paper some estimates for the Poisson extension of a K-quasihomography on the unit circle are given.

How to cite

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Jan Stankiewicz, and Katarzyna Wilczek. " The Poisson extension of K -quasihomography on the unit circle ." Annales UMCS, Mathematica 65.2 (2011): 203-216. <http://eudml.org/doc/268120>.

@article{JanStankiewicz2011,
abstract = {In this paper some estimates for the Poisson extension of a K-quasihomography on the unit circle are given.},
author = {Jan Stankiewicz, Katarzyna Wilczek},
journal = {Annales UMCS, Mathematica},
keywords = {Poisson extension; quasiconformal; quasisymmetric; quasihomography; cross-ratio; quasisymmetric function; functions on the unit circle},
language = {eng},
number = {2},
pages = {203-216},
title = { The Poisson extension of K -quasihomography on the unit circle },
url = {http://eudml.org/doc/268120},
volume = {65},
year = {2011},
}

TY - JOUR
AU - Jan Stankiewicz
AU - Katarzyna Wilczek
TI - The Poisson extension of K -quasihomography on the unit circle
JO - Annales UMCS, Mathematica
PY - 2011
VL - 65
IS - 2
SP - 203
EP - 216
AB - In this paper some estimates for the Poisson extension of a K-quasihomography on the unit circle are given.
LA - eng
KW - Poisson extension; quasiconformal; quasisymmetric; quasihomography; cross-ratio; quasisymmetric function; functions on the unit circle
UR - http://eudml.org/doc/268120
ER -

References

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  11. Lehto, O., Virtane, K. I., Quasiconformal mappings in the plane, Springer-Verlag, Berlin-Heidelberg-New York, 1973. 
  12. Partyka, D., The maximal dilatation of Doudy and Earle extension of a quasisymmetric automorphism of the unit circle, Ann. Univ. Mariae Curie-Skłodowska Sect. A 44 (1990), 45-57. Zbl0774.30018
  13. Partyka, D., The maximal value of the function r &rarr ΦK (√r)2 - r, manuscript, 1995. 
  14. Stankiewicz, J., Wilczek, K., On bilipschitz extensions of automorphisms of the real axis, Bull. Soc. Sci. Lett. Łódź Sér. Rech. Déform. 50 (2006), 95-101. Zbl1141.30307
  15. Wilczek, K., Schwarz lemma for quasihomographies of a Jordan curve, Folia Sci. Univ. Tech. Resoviensis Mat. 20 (1996), 179-192. Zbl0884.30018
  16. Wilczek, K., Distortion Theorems for the quasihomographies of a Jordan curve, Bull. Soc. Sci. Lett. Łódź Sér. Rech. Déform. 25 (1998), 77-88. Zbl1087.30513
  17. Wilczek, K., Zając, J., A distortion theorem for K-quasiconformal self-mappings of the unit disc, Bull. Soc. Sci. Lett. Łódź Sér. Rech. Déform. 26 (1998), 91-102. Zbl1087.30514
  18. Zając, J. Quasihomographies in the theory of Teichmüller spaces, Dissertationes Math. (Rozprawy Mat.) 357 (1996), 102 pp. Zbl0877.30021
  19. Zając, J., Harmonic representation of the universal Teichmüller space-the Paprocki space, Bull. Soc. Sci. Lett. Łódź Sér. Rech. Déform. 51 (2006), 37-48. Zbl1159.30334

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