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Absolute continuity on tracks and mappings of Sobolev spaces. (English) Zbl 0236.46033

MSC:
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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[1] Calkin, J. W., Functions of several variables and absolute continuity I. Duke Math. J. 6, 170–186 (1940). · JFM 66.1224.03 · doi:10.1215/S0012-7094-40-00614-7
[2] Federer, H., Geometric Measure Theory (Grundlehren d. Math. Wiss., Vol. 153). New York: Springer (1969). · Zbl 0176.00801
[3] Gagliardo, E., Proprietà di alcune classi di funzioni in più variabili. Richerche di Mat. 7, 102–137 (1958). · Zbl 0089.09401
[4] Morrey, C. B., Functions of several variables and absolute continuity II. Duke Math. J. 6, 187–215 (1940). · Zbl 0026.39401 · doi:10.1215/S0012-7094-40-00615-9
[5] Roger, F., Sur la relation entre les propriétés tangentielles et metriques des ensembles cartésiens. C. R. Acad. Sci. Paris 201, 871–872 (1935).
[6] Saks, S., Theory of the Integral. Second ed. (Monografje Math., Vol. 7) Warsaw, 1937. Reprinted Stechert-Hafner Pub. Co., New York. New York: Dover 1964. · Zbl 0017.30004
[7] Serrin, J., Personal communication, 1971.
[8] Serrin, J., & D. E. Varberg, A general chain rule for derivatives and the change of variables formula for the Lebesgue integral. Amer. Math. Monthly 76, 514–520 (1969) · Zbl 0175.34401 · doi:10.1080/00029890.1969.12000249
[9] Sobolev, S. L., Applications of Functional Analysis in Mathematical Physics (Transl, of Math. Monographs, Vol. 7). Providence, Amer. Math. Soc., 1963. · Zbl 0123.09003
[10] Vallée Poussin, Ch. J. de la, Sur l’intégrale de Lebesgue. Trans. Amer. Math. Soc. 16, 435–501 (1915). · JFM 45.0441.06
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