Literature Cited
A. P. Calderon, Lebesgue spaces of differentiable functions and distributions, Proc. of the Symposium in Pure Mathematics, Partial Differential Equations, IV, 33–49 (1961).
N. Aronszajn, Potentiels besseliens, Ann. Inst. Fourier, Grenoble,15, No. 1, 43–58 (1965).
Yu. G. Reshetnyak, On the concept of capacity in the theory of functions with generalized derivatives, Sibirsk. Matem. Zh.,10, No. 5, 1109–1138 (1969).
G. H. Hardy, J. E. Littlewood, and G. Polyá, Inequalities, Cambridge University Press (1934).
T. Rado and P. V. Reichelderfer, Continuous Transformations in Analysis, Springer Verlag, Berlin-Göttingen-Heidelberg (1955).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 13, No. 2, pp. 411–419, March–April, 1972.
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Reshetnyak, Y.G. On the boundary behavior of functions with generalized derivatives. Sib Math J 13, 285–290 (1972). https://doi.org/10.1007/BF00971616
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DOI: https://doi.org/10.1007/BF00971616