Results 161 to 170 of about 6,800 (182)

Strongly Extreme Points in Musielak–Orlicz Spaces with the Orlicz Norm

Zeitschrift für Analysis und ihre Anwendungen, 2009
In this paper, criteria of strongly extreme points in Musielak–Orlicz spaces endowed with the Orlicz norm are given.
Wang, Ping, Yu, Feifei, Cui, Yunan
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On the Nonsquare Constants of Orlicz Spaces with Orlicz Norm

Canadian Journal of Mathematics, 2003
AbstractLet lΦ and LΦ(Ω) be the Orlicz sequence space and function space generated by N-function Φ(u) with Orlicz norm. We give equivalent expressions for the nonsquare constants CJ(lΦ), CJ(LΦ(Ω)) in sense of James and CS(lΦ), CS(LΦ(Ω)) in sense of Schäffer.
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Strongly Extreme Points in Orlicz–Lorentz Function Space Equipped with the Orlicz Norm

The Journal of Geometric Analysis, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Di Wang, Yunan Cui
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-convexity of Orlicz–Bochner function spaces endowed with the Orlicz norm

Nonlinear Analysis: Theory, Methods & Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shang, Shaoqiang, Cui, Yunan, Fu, Yongqiang   +2 more
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Points of monotonicity in Musielak--Orlicz function spaces endowed with the Orlicz norm

Publicationes Mathematicae Debrecen, 2002
Let \((X,\|\cdot\|,\leq)\) be a Banach lattice, let \(X^+\) denote the positive cone in \(X\) and let \(S(X)\) be the unit sphere of \(X\). A point \(x\in S(X^+)\) is said to be upper (lower) monotone if for any \(y\in X^+\backslash\{0\},\) (any \(y\in X^+\backslash \{0\}, y\leq x)\) there holds \(\|x+y\|>1,(\|x-y\|
Hudzik, H., Liu, Xin Bo, Wang, T.
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ESTIMATION OF NORMS IN ORLICZ SPACES

2023
Source: Masters Abstracts International, Volume: 06-04, page: 1410.
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Some Orlicz-norm inequalities for martingales

Statistics & Probability Letters, 2009
In this paper, we show some orlicz-norm inequalities for martingales, which are Φ-extensions of some classical inequalities in martingale Hp theory. As applications, a new simple proof of Burkholder–Davis–Gundy inequality in Orlicz-norm form is shown, and the equivalence between Orlicz martingale spaces PΦ and QΦ is obtained.
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Uniformly normal structure and uniform non-squareness of Orlicz–Lorentz function spaces endowed with the Orlicz norm

Annals of Functional Analysis, 2021
Wanzhong Gong
exaly  

Smoothness of Orlicz function spaces equipped with the p-Amemiya norm

Banach Journal of Mathematical Analysis, 2021
Cui YunAn
exaly  

Monotonicity properties and dominated best approximation problems in Orlicz spaces equipped with the p-Amemiya norm

Journal of Mathematical Analysis and Applications, 2015
Henryk Hudzik, Marek Wisła
exaly