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The conditions for the imbedding of the classes H ωk,R \(\tilde H_{k,R}^\omega \)

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Abstract

We find the necessary and sufficient conditions for the imbeddings\(H_{l,R}^\omega \subset H_{k,R}^\varphi ,H_{l,R}^\omega \subset \tilde H_{k,R}^\varphi \) in terms of the majorants ω and ϕ(R=L2π,C2π;l>k).

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Authors and Affiliations

  1. Sverdlovsk State Pedagogical Institute, USSR

    V. É. Geit

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  1. V. É. Geit
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Translated from Matematicheskie Zametki, Vol. 13, No. 2, pp. 169–178, February, 1973.

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Geit, V.É. The conditions for the imbedding of the classes H ωk,R \(\tilde H_{k,R}^\omega \) . Mathematical Notes of the Academy of Sciences of the USSR 13, 101–106 (1973). https://doi.org/10.1007/BF01094225

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  • DOI: https://doi.org/10.1007/BF01094225

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