Abstract
Let Φ and Ψ be Young functions, and let LΦ(Ω) and LΨ(Ω) be corresponding Orlicz spaces on a measure space (Ω,μ). Our aim in this paper is to prove that, under mild conditions on Φ and Ψ, the multiplication from LΦ(Ω)×LΨ(Ω) onto L1(Ω) is uniformly open. This generalizes an interesting recent result due to M. Balcerzak, A. Majchrzycki, and F. Strobin in 2013.
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