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Embedding Nikol’skiĭ classes into Lorentz spaces

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Abstract

We consider the embeddings of the Nikol’skii classes of Lorentz spaces into Lorentz spaces. We obtain necessary and sufficient conditions for these embeddings under some restrictions on the fundamental functions of a Lorentz space.

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Authors and Affiliations

  1. Volgograd State Technical University, Volgograd, Russia

    B. V. Simonov

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  1. B. V. Simonov
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Correspondence to B. V. Simonov.

Additional information

Original Russian Text Copyright © 2010 Simonov B. V.

The author was supported by the Russian Foundation for Basic Research (Grant 09-01-00175) and the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-3252.2010.1).

Volgograd. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 51, No. 4, pp. 911–929, July–August, 2010.

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Simonov, B.V. Embedding Nikol’skiĭ classes into Lorentz spaces. Sib Math J 51, 728–744 (2010). https://doi.org/10.1007/s11202-010-0074-8

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  • DOI: https://doi.org/10.1007/s11202-010-0074-8

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