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On the existence almost everywhere of the cross partial derivatives. (English) Zbl 0153.08802


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[1] Burkill, J. C., andU. S. Haslam-Jones: The differentiability of functions of two variables. Journal of the London Mathematical Society7, 297-305 (1933). · Zbl 0005.39104 · doi:10.1112/jlms/s1-7.4.297
[2] Fubini, G., andL. Tonelli: Sulla derivata seconds mista di un integrale doppio. Rend. del, Circ. Mat. di Palermo15, 295 (1916).
[3] McShane, E. J.: Integration. Princeton: Princeton University Press 1944. · Zbl 0060.13010
[4] Serpi?ski, Waclaw: Sur un problème concernant les ensembles measurables superficiellement. Fundamenta Mathematica1, 112-115 (1920). · JFM 47.0180.04
[5] Serrin, James: On the differentiability of functions of several variables. Archive for Rational Mechanics and Analysis7, 359-372 (1961). · Zbl 0109.03904 · doi:10.1007/BF00250769
[6] Tucker, D. H.: An existence theorem for a Goursat problem. Pacific Journal of Mathematics12, 719-727 (1962). · Zbl 0119.08203
[7] Young, W. H.: Sur la derivation des functions á variation Bornèe. Comptes Rendus164, 622-625 (1917). · JFM 46.0385.02
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