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Liouville’s theorem on conformal mappings for minimal regularity assumptions. (English. Russian original) Zbl 0167.36102
Sib. Math. J. 8(1967), 631-634 (1968); translation from Sib. Mat. Zh. 8, 835-840 (1967).

Full Text: DOI
[1] Yu. G. Reshetnyak, Stability in Liouville’s Theorem on Conformal Mappings of a Space,152, No. 2, 286–288, Dokl. AN SSSR (1963). · Zbl 0353.30020
[2] Yu. G. Reshetnyak, Space Mapping with Bounded Distortion, Sib. Matem. Zh.,8, No. 3, 629–658. (1967).
[3] Yu. G. Reshetnyak, Estimates of Modulus of Continuity for Some Mappings, Sib. Matem. Zh.,7, No. 5, 1106–1114 (1966).
[4] O. Frostman, Potentiel d’équilibre et capacité des ensembles avec quelques applications a la théorie des fonctions, Meddel. Lunds. Univ. Mat. Sem.,3 (1935). · JFM 61.1262.02
[5] Yu. G. Reshetnyak, Stability of Conformal Mappings in Multidimensional Spaces, Sib. Matem. Zh.,8, No. 1, 91–114 (1967). · Zbl 0158.32703
[6] F. W. Gehring, Rings and Quasiconformal Mappings in Space, Trans. Amer. Math. Soc.,103, 353–393 (1962). · Zbl 0113.05805
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