Convexity in Musielak-Orlicz spaces
نویسندگان
چکیده
منابع مشابه
Nonsquareness in Musielak-Orlicz-Bochner Function Spaces
and Applied Analysis 3 Proposition 1.2. Function σ t is μ-measurable. Proof. Pick a dense set {ri}i 1 in 0,∞ and set Bk { t ∈ T : M ( t, 1 2 rk ) 1 2 M t, rk } , qk t rkχBk t k ∈ N . 1.7 It is easy to see that for all k ∈ N, σ t ≥ qk t μ-a.e on T . Hence, supk≥1qk t ≤ σ t . For μ-a.e t ∈ T , arbitrarily choose ε ∈ 0, σ t . Then, there exists rk ∈ σ t − ε, σ t such that M t, 1/2 rk 1/2 M t, rk ,...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 1985
ISSN: 0385-4035
DOI: 10.14492/hokmj/1381757691