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This article is cited in 2 scientific papers (total in 2 papers)
Characterization of the Orlicz spaces whose convergence is equivalent to convergence in measure on reflexive subspaces
S. I. Strakhov S. P. Korolev Samara National Research University, Samara, Russia
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.
Received: 09.10.2018 Revised: 06.02.2019 Accepted: 12.03.2019
Citation:
S. I. Strakhov, “Characterization of the Orlicz spaces whose convergence is equivalent to convergence in measure on reflexive subspaces”, Sibirsk. Mat. Zh., 60:4 (2019), 881–890; Siberian Math. J., 60:4 (2019), 690–698
Linking options:
https://www.mathnet.ru/eng/smj3122 https://www.mathnet.ru/eng/smj/v60/i4/p881
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Abstract page: | 286 | Full-text PDF : | 150 | References: | 38 | First page: | 2 |
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