Literature Cited
R. Kaufman, “A theorem of Rado,” Math. Ann.,169, 282 (1967).
R. Kaufman, “Null sets and analytic continuation,” Math. Ann.,260, 63–65 (1982).
P. Järvi, “Removability theorems for meromorphic functions,” Ann. Acad. Sci. Fenn. Ser. Al, No. 12, 1–33 (1977).
L. Ahlfors and A. Beurling, “Conformal invariants and function-theoretic null-sets,” Acta Math.,83, 101–129 (1950).
A. V. Sychev, Moduli and Spatial Mappings [in Russian], Nauka, Novosibirsk (1983).
Yu. G. Reshetnyak, Spatial Mappings with Bounded Distortion [in Russian], Nauka, Novosibirsk (1982).
V. M. Gol'dshtein and Yu. G. Reshetnyak, An Introduction to the Theory of Functions with Generalized Derivatives and Quasiconformal Mappings [in Russian], Nauka, Moscow (1983).
W. P. Ziemer, “Extremal length and conformal capacity,” Trans. Am. Math. Soc.,126, No. 3, 460–473 (1967).
E. Riech and S. E. Warschawski, “On canonical conformal maps of regions of arbitrary connectivity,” Pacif. J. Math.,10, No. 3, 965–989 (1960).
K. Kuratowskii, Topology, Academic Press, New York (1966–68).
G. D. Mostow, “Quasiconformal mappings in n-dimensional space and the rigidity of hyperbolic space forms,” Inst. Hautes Études Sci. Publ. Math. No.34, 53–104 (1968).
L. I. Hedberg, “Removable singularities and condenser capacities,” Ark. Mat.,13, No. 1, 131–144 (1975).
V. V. Krivov, “The method of extremal functions in the theory of quasiconformal mappings,” Sib. Mat. Zh.,12, 1056–1066 (1971).
P. S. Aleksandrov, Introduction to Set Theory and General Topology [in Russian], Nauka, Moscow (1977).
G. V. Vittikh, A Recent Investigation into Single-Valued Analytic Functions [in Russian], Fizmatgiz, Moscow (1960).
O. Martio, S. Rickman, and J. Väisälä, “Definitions for quasiregular mappings,” Ann. Acad. Sci. Fenn. Ser. Al, No. 448, 1–40 (1969).
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Vladivostok. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 1, pp. 179–186, January–February, 1990.
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Shlyk, V.A. K-Capacity and the rado problem for mappings with bounded distortion. Sib Math J 31, 152–158 (1990). https://doi.org/10.1007/BF00971161
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DOI: https://doi.org/10.1007/BF00971161