Literature Cited
Ya. S. Bugrov, “Representation theorems for a class of functions,” Sibirskii Mat. Zhurnal.7, No. 2. 242–251 (1966).
S. M. Nikol'skii, “Functions with dominated mixed derivatives, satisfying a multiple Holder condition,” Sibirskii Mat. Zhurnal.4, No. 6, 1324–1364 (1963).
A. P. Uninskii, “Imbedding theorems for a class of functions with mixed norm,” Dokl. Akad. Nauk SSSR.166, No. 4. 806–808 (1966).
S. M. Nikol'skii, On a problem of S. L. Sobolev.-Sibirskii Mat. Zhurnal.3, No. 6, 845–851 (1962).
A. Benedek and R. Panzone, “The space Lp with mixed norm,” Duke Math. J.,28, No. 3, 302–324 (1961).
A. P. Uninskii, “Inequalities in the mixed norm for trigonometric polynomials and entire functions of finite degree,” Materials of the All-Union Symposium on Imbedding Theorerns, Baku, 1966.
Ya. S. Bugrov. “Imbedding theorems for a class of functions with mixed norm.” Proceedings of the Third S'berian Conference on Mathematics and Mechanics. Izd. Tomsk Un-ta (1964). p. 54.
S. M. Nikol'skii, “Inequalities for entire functions of finite degree and their application in the theory of differentiable functions of several variables.” Trudy. Mat. Institute. Akad. Nauk SSSR. 38 (1951).
Ya. S. Bugrov, “On the continuation of functions,” Dokl. Akad. Nauk SSSR.150, No. 6, 1191–1194 (1963).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 10. No. 1. pp. 158–171. January–February, 1969.
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Uninskii, A.P. Imbedding theorems for classes of functions with mixed norms. Sib Math J 10, 114–123 (1969). https://doi.org/10.1007/BF01208414
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DOI: https://doi.org/10.1007/BF01208414