Fractal straight lines and quasiconformal mappings

Siberian Mathematical Journal

Volumn 38, Issue 6, 1997, Pages 1206-1214

  Trotsenko, D A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27544449159     PISSN: 00374466     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02675947     Document Type: Article

References (11)

1. L. V. Ahlfors, Lectures on Quasiconformal Mappings [Russian translation], Mir. Moscow (1969).
2. D. A. Trotsenko, "Fractal straight lines and quasisymmetries," Sibirsk. Mat. Zh., 36, No. 6, 1399-1415 (1995).
3. D. A. Trotsenko, "The image of a straight line under quasiconformal mappings of a space which are close to conformal," Dokl. Akad. Nauk SSSR, 277, No. 1, 53-56 (1984).
4. D. A. Trotsenko, "Continuation of spatial quasiconformal mappings close to conformal," Sibirsk. Mat. Zh., 28, No. 6, 125-133 (1987).
5. P. Tukia and J. Väisälä, "Extension of embeddings close to isometries or similarities," Ann. Acad. Sci. Fen. Ser. A I Math., 9, 153-175 (1984).
6. J. Väisälä, "Bilipschitz and quasisymmetric extension properties," Ann. Acad. Sci. Fen. Ser. A I Math., 11, 239-274 (1986).
7. J. Väisälä, M. Vuorinen, and H. Wallin, "Thick sets and quasisymmetric maps," Nagoya Math. J., 135, 121-148 (1994).
8. D. A. Trotsenko, "On thick sets on a plane," in: Abstracts: The International Conference "Groups in Analysis and Geometry," Omsk, 1995, pp. 70-71.
9. Yu. G. Reshetnyak, Stability Theorems in Geometry and Analysis [in Russian], Nauka, Novosibirsk (1982).
10. V. V. Aseev and D. A. Trotsenko, "Quasisymmetric embeddings, quadruples of points and distortions of modules," Sibirsk. Mat. Zh., 28, No. 4, 32-38 (1987).
11. D. A. Trotsenko, "Approximation of spatial mappings with bounded distortion by similarities," Sibirsk. Mat. Zh., 27, No. 6, 196-205 (1986).