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Literature Cited
S. L. Sobolev, Some Applications of Functional Analysis in Mathematical Physics [in Russian], Izd. Leningrad. Univ., Leningrad (1951).
V. I. Semenov, “One-parameter groups of quasiconformal homeomorphisms in Euclidean space,” Sib. Mat. Zh.,17, No. 1, 177–193 (1976).
Yu. G. Reshetnyak, “Some geometric properties of functions and mappings with generalized derivatives,” Sib. Mat. Zh.,7, No. 5, 886–919 (1966).
E. Hille and R. S. Phillips, Functional Analysis and Semi-Groups, Am. Math. Soc., Providence (1957).
Yu. G. Reshetnyak, “Stability theorems for mappings, with bounded distortion,” Sib. Math. Zh.,9, No. 3, 667–684 (1968).
E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton (1970).
W. F. Gehring, “The Lp-integrability of the partial derivatives of a quasiconformal mapping,” Bull. Am. Math. Soc.,79, No. 2, 465–466 (1973).
F. John, “Rotation and strain,” Comm. Pure Appl. Math.,14, No. 3, 391–413 (1961).
Yu. G. Reshetnyak, “Bounds for certain differential operators with finite kernel,” Sib. Mat. Zh.,11, No. 2, 414–428 (1970).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 18, No. 4, pp. 877–889, July–August, 1977.
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Semenov, V.I. Semigroups of certain classes of mappings. Sib Math J 18, 622–631 (1977). https://doi.org/10.1007/BF00967204
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DOI: https://doi.org/10.1007/BF00967204