Results 111 to 120 of about 5,148,140 (146)

Musielak–Orlicz–Bochner function spaces which are uniformly noncreasy

Mathematische Nachrichten, 2018
AbstractIn this paper, the criteria for uniform noncreasiness of Musielak–Orlicz–Bochner function spaces are given. Moreover authors also prove that the space (resp ) is uniformly noncreasy if and only if the space (resp ) is uniformly convex or uniformly smooth.
Shaoqiang Shang
exaly   +2 more sources

Intrinsic square function characterizations of weak Musielak–Orlicz Hardy spaces

Banach Journal of Mathematical Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xianjie Yan
exaly   +3 more sources

On S-points of Musielak–Orlicz function spaces

Optik, 2015
Abstract In this paper, criteria for S-points of Musielak–Orlicz function spaces are given. Moreover, as a corollary, the sufficient and necessary conditions for Musielak–Orlicz function spaces to have the S-property are obtained. At last, the conclusions that Musielak–Orlicz function spaces which have the S-property, its dual spaces are ...
exaly   +2 more sources

New real-variable characterizations of Musielak–Orlicz Hardy spaces [PDF]

Journal of Mathematical Analysis and Applications, 2012
Let φ:Rn×[0,∞)→[0,∞) be such that φ(x,⋅) is an Orlicz function and φ(⋅,t) is a Muckenhoupt A∞(Rn) weight. The Musielak–Orlicz Hardy space Hφ(Rn) is defined to be the space of all f∈S′(Rn) such that the grand maximal function f∗ belongs to the Musielak ...
Jizheng Huang, Yiyu Liang
exaly   +2 more sources

Capacity for potentials of functions in Musielak–Orlicz spaces

Nonlinear Analysis: Theory, Methods & Applications, 2011
Let \(\phi(x,t): \mathbb{R}^N\times [0,\infty)\to [0,\infty)\) be a convex function of \(x\), satisfying the \(\Delta_2\)-condition for all \(t\geq 0\), defining a Musiełak-Orlicz space \(L^\phi(G)\), \(G\) being an open set in \(\mathbb{R}^N\). The authors define the \((k,\Phi)\)-capacity of \(E\) relative to \(G\), where \(E\subset\mathbb{R}^N\), by ...
Maeda, Fumi-Yuki, Mizuta, Yoshihiro, Ohno, Takao, Shimomura, Tetsu   +3 more
openaire   +1 more source

On Some Local Geometric Properties in Musielak-Orlicz Function Spaces

Zeitschrift für Analysis und ihre Anwendungen, 2004
Criteria for compactly locally uniformly rotund points in Musielak-Orlicz spaces equipped with the Luxemburg and the Orlicz-Amemiya norms are given. Next, criteria for compact local uniform rotundity and local uniform rotundity of the spaces for both norms are deduced.
Hudzik, Henryk, Kowalewski, Wojciech
openaire   +1 more source

Nearly strict convexity in Musielak–Orlicz–Bochner function spaces

Nonlinear Analysis: Theory, Methods & Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shang, Shaoqiang, Cui, Yunan, Fu, Yongqiang   +2 more
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Approximative compactness in Musielak–Orlicz function spaces of Bochner type

Banach Journal of Mathematical Analysis, 2017
In this article, we give the criteria for approximative compactness of every proximinal convex subset of Musielak–Orlicz–Bochner function spaces equipped with the Orlicz norm. As a corollary, we give the criteria for approximative compactness of Musielak–Orlicz–Bochner function spaces equipped with the Orlicz norm.
Cui Yunan, Shaoqiang Shang
exaly   +3 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.
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Criteria for complex strongly extreme points of Musielak–Orlicz function spaces

Nonlinear Analysis: Theory, Methods & Applications, 2009
Let \(X\) be a complex Banach space. The authors introduce the notions of complex strongly extreme points, complex midpoint local uniform rotundity, complex locally uniform rotund points. As in the case of real scalars, all these are complex extreme points and any complex locally uniform rotund point is a complex strongly extreme point.
Chen, Lili, Cui, Yunan, Hudzik, Henryk
openaire   +2 more sources