共查询到20条相似文献,搜索用时 15 毫秒
1.
Xian Ling FAN 《数学学报(英文版)》2007,23(2):281-288
Let (Ω,μ) be a a-finite measure space and Φ : Ω × [0,∞) → [0, ∞] be a Musielak-Orlicz function. Denote by L^Φ(Ω) the Musielak-Orlicz space generated by Φ. We prove that the Amemiya norm equals the Orlicz norm in L^Φ(Ω). 相似文献
2.
Pawe? Foralewski Ryszard P?uciennik 《Journal of Mathematical Analysis and Applications》2010,361(2):506-158
Orlicz function and sequence spaces unit balls of which have no extreme points are completely characterized for both (the Orlicz and the Luxemburg) norms. Their subspaces of order continuous elements, with the norms induced from the whole Orlicz spaces without extreme points in their unit balls are also characterized. The well-known spaces L1 and c0 with unit balls without extreme points are covered by our results. Moreover, a new example of a Banach space without extreme points in its unit ball is given (see Example 1). This is the subspace a(L1+L∞) of order continuous elements of the space L1+L∞ equipped with the norm whenever 0<a<∞ and μ(T)>1/a. 相似文献
3.
O.I. Vladimirskaya 《Positivity》2001,5(1):65-74
It is proved that the closure of the range of a nonatomic countably additive measure with values in an Orlicz space l
M, where 2 [M,M], is convex. 相似文献
4.
H. Kita 《Mathematische Nachrichten》1997,183(1):135-155
Let Φ(t) and Ψ(t) be the functions having the following representations Φ(t) = ∫a(s)ds and Ψ(t) = ∫b(s) ds, where a(s) is a positive continuous function such that ∫a(s)/s ds = + ∞ and b(s) is an increasing function such that lims→ ∞ b(s) = + ∞. Then the following statements for the Hardy - Littlewood maximal function M f (x) are equivalent:
- 1 (i) there exist positive constants c1 and s0 such that
- 1 (ii) there exist positive constant c2 and c3 such that
5.
In this paper, we extend the well-known result of Lipschitz approximation of lower semi-continuous functions to a class of lattice valued vector functions. We then use this approximation to get convergence results and we give two applications to the law of large numbers and to an ergodic theorem. 相似文献
6.
本文首先研究了Υ阶广义样条类在Orlicz空间内的极值问题,由此进一步考虑了光滑函数类Ω_∞~Υ[0,1]在Orlicz空间内的n宽度的精确估计问题.最后还讨论了相应的对偶情形. 相似文献
7.
XinBoLIU TingFuWANG FeiFeiYU 《数学学报(英文版)》2005,21(2):267-278
Criteria for extreme points and strongly extreme points in Musielak-Orlicz sequence spaces, equipped with both the Luxemburg norm and the Orlicz norm, are given. 相似文献
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9.
本文给出了Musielak-Orlicz序列空间中S-点的充要判别准则.作为推论,得到Musielak-Orlicz序列空间具有S-性质的充分必要条件. 相似文献
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11.
W.Kirk给出了弱正规结构(WNS)的概念,并证明了弱正规结构(WNS)蕴涵弱不动点性质,B.Sims给出了具有(k)性质的巴拿赫空间,并证明了(k)性质蕴函弱正规结构,陈述涛给出了伪-k(pseudo-(k))性质及弱各向一致凸(WURED)的概念,推广了B.Sims的结果,并讨论了Orlicz序列空间是弱各向一致凸的充要条件,本利用实变函数理论及赋范线性空间中有关知识,给出Orlicz函空间是弱各向一致凸的充分必要条件,所得以的结论和证明方法与序列空间情形都有实质不同。 相似文献
12.
A multiplicative equivalent of the zero utility premium calculation principle is introduced. If the utility function happens to be a normalized Young function the new premium calculation principle is related to Orlicz norms. 相似文献
13.
On a Class of Generalized Lacunary Difference Sequence Spaces Defined by Orlicz Functions 总被引:1,自引:0,他引:1
In this article we introduce the generalized lacunary difference sequence spaces [N_θ,M,Δ~m]_0,[N_θ,M,Δ~m]_1 and [N_θ,M,Δ~m]_∞using m~(th)- difference.We study their properties like completeness,solidness,symmetricity.Also we obtain some inclusion relations involving the spaces [N_θ,M,Δ~m]_0,[N_θ,M,Δ~m]_1 and[N_θ,M,Δ~m]_∞and the Cesàro summable and strongly Cesàro summable sequences. 相似文献
14.
作者给出赋Luxemburg范数Musielak-Orlicz序列空间光滑点的支撑泛函的刻画.进一步,给出赋Orliez范数和赋Luxemburg范数Musielak-Orlicz序列空间的粗性,点态粗的充分必要条件. 相似文献
15.
该文给出赋0rlicz范数的Musielak-Orlicz序列空间中Gateaux可微点(光滑点)与Frechet可微点(强光滑点)的判定准则.在此基础上推出了该空间具有光滑性或强光滑性的充分必要条件. 相似文献
16.
B. Zlatanov 《Journal of Mathematical Analysis and Applications》2008,341(2):1042-1054
It is proved that a weighted Orlicz sequence space ?M(w), equipped with Luxemburg or Amemiya norm has weak uniform normal structure iff ?M(w)≅hM(w) for wide class of weight sequences . An example is constructed, where M has not Δ2-condition but by choosing a suitable weight sequence limn→∞wn=∞ we get that ?M(w) has weak uniform normal structure. 相似文献
17.
It is shown that an Orlicz sequence space admits an equivalent analytic renorming if and only if it is either isomorphic to or isomorphically polyhedral. As a consequence, we show that there exists a separable Banach space admitting an equivalent -Fréchet norm, but no equivalent analytic norm.
18.
Tavan T. Trent 《Journal of Functional Analysis》2002,189(1):267-282
We improve an estimate of Fuhrmann and Vasyunin in the vector valued corona theorem. 相似文献
19.
首先通过建立并证明推广的对数导数基本引理,讨论了12π∫2π0log+‖f′(reiθ)‖‖f(reiθ)‖dθ的增长问题,进而对向量值Nevanlinna第二基本定理的余项进行了估计 相似文献
20.
Using the method of construction,with the help of inequalities,we research the Muntz rational approximation of two kinds of special function classes,and give the corresponding estimates of approximation rates of these classes under widely conditions.Because of the Orlicz Spaces is bigger than continuous function space and the Lp space,so the results of this paper has a certain expansion significance. 相似文献