Abstract
We obtain necessary and sufficient conditions for the embedding of classes, which consist of sequences and are generated by certain functions. We use these conditions to study a number of problems in the theory of the coordinate spaces that are generalizations of Orlicz spaces, and in the theory of the superposition operator acting in these spaces.
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Translated from Matematicheskie Zametki, Vol. 20, No. 5, pp. 681–692, November, 1976.
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Shragin, I.V. Conditions for the embedding of classes of sequences and their consequences. Mathematical Notes of the Academy of Sciences of the USSR 20, 942–948 (1976). https://doi.org/10.1007/BF01146915
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DOI: https://doi.org/10.1007/BF01146915