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Literature Cited
O. Teichmüller, “Untersuchungen über Konforme und quasikonforme Abbildung,” Deutsche Math.,3, 621–678 (1938).
M. A. Lavrent'ev, “The theory of conformal mappings,” Tr. Fiz.-Mat. Inst. im V. A. Steklova, 195–246 (1934).
T. Rado and P. V. Reichelderfer, “On n-dimensional concepts of bounded variations, absolute continuity and generalized Jacobian,” Proc. Nat. Acad. Sci.,35, No. 2, 678–680 (1949).
P. P. Kufarev, “The problem of conformal mappings of complementary regions,” Dokl. Akad. Nauk SSSR,73, No. 5, 881–884 (1950).
G. M. Goluzin, “The method of variations in conformal mapping,” Mat. Sb.,29, No. 2, 455–458 (1951).
N. A. Lebedev, “The theory of conformal transformations of a disk onto nonoverlapping regions,” Dokl. Akad. Nauk SSSR,103, No. 4, 553–555 (1955).
Z. Nehari, “Some inequalities in the theory of functions,” Trans. Am. Math. Soc.,75, No. 2, 256–286 (1953).
Yu. E. Alenitsyn, “The theory of single-sheeted functions and Biberbach-Eulenberg functions,” Dokl. Akad. Nauk SSSR,109, No. 2, 247–250 (1956).
N. A. Lebedev, “An application of the area principle to problems on nonoverlapping regions,” Tr. Mat. Inst. Akad. Nauk SSSR,60, 211–231 (1961).
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Tyumen State University. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 20, No. 6, pp. 1275–1281, November–December, 1979.
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Mandik, V.P. Area theorems for systems of one-sheeted functions. Sib Math J 20, 905–909 (1979). https://doi.org/10.1007/BF00970390
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DOI: https://doi.org/10.1007/BF00970390