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References
S. K. Vodop'yanov, “Mappings on homogeneous groups and embeddings of functional spaces,” Sibirsk. Mat. Zh.,30, No. 5, 25–41 (1989).
S. K. Vodop'yanov, “Weighted Sobolev spaces and the theory of functions,” in: Abstracts: First All-Union School on Potential Theory [in Russian], Inst. Math., Kiev (1991).
V. I. Kruglikov, “Capacities of condensers and space mappings quasiconformal in mean,” Mat. Sb.,130, No. 2, 185–206 (1986).
V. M. Gol'dshteîn and Yu. G. Reshetnyak, Introduction to the Theory of Functions with Generalized Derivatives and Quasiconformal Mappings [in Russian], Nauka, Moscow (1983).
S. K. Vodop'yanov and V. M. Gol'dshteîn, “Criteria for removability of sets for the spacesL 1p , quasiconformal and quasi-isometric mappings,” Sibirsk. Mat. Zh.,18, No. 1, 48–68 (1977).
O. Martio, S. Rickman, and J. Väisälä, “Definitions for quasiregular mappings,” Ann. Acad. Sci Fenn. Ser. A I Math., No. 448, 1–40 (1969).
P. Hajlasz, Change-of-Variables Formula Under the Minimal Assumptions, [Preprint] Inst. Math., Warsaw (1991).
S. Saks, The Theory of Integral [Russian translation], Izdat. Inostr. Lit., Moscow (1949).
V. G. Maz'ya, Sobolev Spaces [in Russian], Leningrad. Univ., Leningrad (1985).
F. W. Gehring, “Lipschitz mapping andp-capacity of rings inn-space,” in: Advance in the Theory of Riemann Surfaces, Proc. Conference, Stony Brook, New York, 1969, Univ. Press. Princenton: New York, 1971, pp. 175–193.
J. Väisälä, Lectures onn-Dimensional Quasiconformal Mappings, Springer, Berlin (1971).
Additional information
Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 1, pp. 185–192, January–February, 1993.
Translated by V. G. Perepëlkin
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Ukhlov, A.D. On mappings generating the embeddings of Sobolev spaces. Sib Math J 34, 165–171 (1993). https://doi.org/10.1007/BF00971252
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DOI: https://doi.org/10.1007/BF00971252