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Siberian Mathematical Journal

, Volume 60, Issue 4, pp 690–698 | Cite as

Characterization of the Orlicz Spaces Whose Convergence is Equivalent to Convergence in Measure on Reflexive Subspaces

  • S. I. Strakhov
Article
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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.

Keywords

rearrangement invariant space reflexive subspace Orlicz space Orlicz-Matuszewska indices convergence in measure 

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Copyright information

© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  • S. I. Strakhov
    • 1
  1. 1.S. P. Korolev Samara National Research UniversitySamaraRussia

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