On the boundary behavior of quasiconformal mappings
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We discuss some open questions of the theory of quasiconformal mappings related to the field of studies of Professor G. D. Suvorov. The present work is dedicated to his memory.
KeywordsQuasiconformal mapping boundary behavior ideal boundary prime ends Carnot–Carathéodory metric
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- 3.M. A. Lavrent’ev, “On the continuity of univalent functions in closed domains,” Dokl. Akad. Nauk SSSR, 4, No. 5, 207–210 (1936) [in Russian].Google Scholar
- 4.G. D. Suvorov, Families of Flat Topological Mappings [in Russian], Sibir. Divis. of the AS of the USSR, Novosibirsk, 1965.Google Scholar
- 5.G. D. Suvorov, The Generalized Principle of Length and Area in the Theory of Mappings [in Russian], Naukova Dumka, Kiev, 1985.Google Scholar
- 6.V. A. Zorich, “The Carathéodory class and a spatial analog of the Koebe theorem,” Theory of Mappings, Its Generalizations, and Applications [in Russian], Naukova Dumka, Kiev, 1982, pp. 92–101.Google Scholar
- 12.I. Hololpainen and S. Rickman, “Quasiregular mappings, Heisenberg group, and Picard’s theorem,” in: Proceeings of the Fourth Finnish–Polish Summer School in Complex Analysis, Jyväskylä, Finland, 1992, edited by J. Lawrinowicz et al., Jyväskylä Univ., Jyväskylä, 1993, pp. 25–35.Google Scholar
- 15.V. A. Zorich, Mathematical Aspects of Classical Thermodynamics [in Russian], MCCME, Moscow, 2019.Google Scholar
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