Literature Cited
G. D. Suvorov, “Equicontinuous stability of conformal transformations of closed domains,” Ukr. Mat. Zh.,20, No. 1, 78–84 (1968).
V. I. Kruglikov and V. M. Miklyukov, “Stability theorems for mappings of class BL,” in: Metric Questions in the Theory of Functions and Transformations [in Russian], No. 3, Naukova Dumka, Kiev (1971), pp. 55–70.
I. A. Volynets, “Distortion theorems for mappings of class BL,” Dokl. Akad. Nauk SSSR,213, No. 1, 16–18 (1973).
I. N. Vekua, Generalized Analytic Functions, Pergamon (1962).
G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge Univ. Press (1952).
I. A. Volynets, “Area distortion under quasiconformal mappings,” Dokl. Akad. Nauk SSSR,204, No. 5, 1034–1036 (1972).
G. D. Suvorov, Families of Topological Transformations of the Plane [in Russian], Izd. Akad. Nauk SSSR, Sib. Otd., Novosibirsk (1965).
P. P. Belinskii, “On the area measure under quasiconformal mappings,” Dokl. Akad. Nauk SSSR,121, No. 1, 16–17 (1958).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 18, No. 6, pp. 1259–1270, November–December, 1977.
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Volynets, I.A. Distortion under mappings of class BL. Sib Math J 18, 891–899 (1977). https://doi.org/10.1007/BF00969226
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DOI: https://doi.org/10.1007/BF00969226