S. I. Strakhov, “Characterization of the Orlicz spaces whose convergence is equivalent to convergence in measure on reflexive subspaces”, Sibirsk. Mat. Zh., 2019, Volume 60, Number 4,Pages <nobr>881

This article is cited 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.

UDC: 517.982.22

Received: 09.10.2018
Revised: 06.02.2019
Accepted: 12.03.2019

DOI: 10.33048/smzh.2019.60.414