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Imbedding theorem for a class of functions defined on the entire space or on a half space. I. (English. Russian original) Zbl 0192.47301

Am. Math. Soc., Transl., II. Ser. 74, 199-225 (1968); translation from Mat. Sb., n. Ser. 69(111), 616-639 (1966).
In these two Parts (Part II see Zbl 0192.47302) the author presents proofs of theorems announced earlier in [Sov. Math., Dokl. 4, 1715–1717 (1963; Zbl 0148.11801); translation from Dokl. Akad. Nauk SSSR 153, 530–532 (1963)].

MSC:

46-XX Functional analysis
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