- Tytuł:
- Normal structure of Lorentz-Orlicz spaces
- Autorzy:
-
Lin, Pei-Kee
Sun, Huiying - Powiązania:
- https://bibliotekanauki.pl/articles/1294667.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Lorentz-Orlicz space
normal sturcture
order continuous
Young function - Opis:
-
Let ϕ: ℝ → ℝ₊ ∪ {0} be an even convex continuous function with ϕ(0) = 0 and ϕ(u) > 0 for all u > 0 and let w be a weight function. u₀ and v₀ are defined by
u₀ = sup{u: ϕ is linear on (0,u)}, v₀=sup{v: w is constant on (0,v)}
(where sup∅ = 0). We prove the following theorem. Theorem. Suppose that $Λ_{ϕ,w}(0,∞)$ (respectively, $Λ_{ϕ,w}(0,1)$) is an order continuous Lorentz-Orlicz space. (1) $Λ_{ϕ,w}$ has normal structure if and only if u₀ = 0 (respectively, $∫_^{v₀} ϕ(u₀) · w < 2 and u₀ <∞). (2) $Λ_{ϕ,w}$ has weakly normal structure if and only if $∫_0^{v₀} ϕ(u₀)· w < 2$. - Źródło:
-
Annales Polonici Mathematici; 1997, 67, 2; 147-168
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł