Abstract
We obtain the necessary and sufficient conditions for convergence in measure to be equivalent to norm convergence on the reflexive subspaces of Orlicz spaces.
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Russian Text © The Author(s), 2019, published in Sibirskii Matematicheskii Zhurnal, 2019, Vol. 60, No. 4, pp. 881–890.
The author was supported by the Russian Foundation for Basic Research (Grant 18-01-00414-a).
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Strakhov, S.I. Characterization of the Orlicz Spaces Whose Convergence is Equivalent to Convergence in Measure on Reflexive Subspaces. Sib Math J 60, 690–698 (2019). https://doi.org/10.1134/S0037446619040141
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DOI: https://doi.org/10.1134/S0037446619040141