journal article
Dec 01, 1997
Fractal straight lines and quasiconformal mappings
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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).
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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).
10.1017/s0027763000004980
[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).
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References
Details
- Published
- Dec 01, 1997
- Vol/Issue
- 38(6)
- Pages
- 1206-1214
- License
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Authors
Cite This Article
D. A. Trotsenko (1997). Fractal straight lines and quasiconformal mappings. Siberian Mathematical Journal, 38(6), 1206-1214. https://doi.org/10.1007/bf02675947
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