Results 151 to 160 of about 221 (175)

Rotundity and uniform rotundity of Orlicz‐Lorentz sequence spaces equipped with the Orlicz norm

Mathematische Nachrichten, 2011
AbstractIn this paper, we shall give a criteria of the rotundity and uniform rotundity of Orlicz‐Lorentz sequence spaces equipped with the Orlicz norm.
Wang, Jincai, Ning, Zhe
exaly   +2 more sources

On mixed norm Bergman–Orlicz–Morrey spaces

Georgian Mathematical Journal, 2018
Abstract Following the ideas of our previous research, in this paper we continue the study of new Bergman-type spaces on the unit disc with mixed norm in terms of Fourier coefficients. Here we deal with the case where the sequence of norms of Fourier coefficients in the Orlicz–Morrey space in radial variable belongs to
Alexey Karapetyants, Stefan Samko
exaly   +3 more sources

WM PROPERTY OF ORLICZ SPACES WITH ORLICZ NORM

Acta Mathematica Scientia, 1994
Summary: It is shown that an Orlicz space \(L_ M\) with Orlicz norm has WM property iff it is reflexive and the right derivative of its generating function \(M\) is continuous at both extreme points of any interval on which \(M\) is affine.
Chen, Shutao, Duan, Yanzheng
openaire   +2 more sources

Smooth Norms in Orlicz Spaces

Canadian Mathematical Bulletin, 1991
AbstractEquivalent norms with best order of Frechet and uniformly Frechet differentiability in Orlicz spaces are constructed. Classes of Orlicz which admit infinitely many times Frechet differentiable equivalent norm are found.
Maleev, R. P., Troyanski, S. L.
openaire   +1 more source

On the convexity coefficient of Musielak–Orlicz function spaces equipped with the Orlicz norm

Mathematische Nachrichten, 2023
AbstractIn Hudzik and Landes, the convexity coefficient of Musielak–Orlicz function spaces over a non‐atomic measure space equipped with the Luxemburg norm is computed whenever the Musielak–Orlicz functions are strictly convex see [6]. In this paper, we extend this result to the case of Musielak–Orlicz spaces equipped with the Orlicz norm.
Tianbao Guo, Yunan Cui
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +2 more sources

-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
openaire   +2 more sources

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.
openaire   +1 more source

ESTIMATION OF NORMS IN ORLICZ SPACES

2023
Source: Masters Abstracts International, Volume: 06-04, page: 1410.
openaire   +1 more source