Results 161 to 170 of about 8,406 (194)

Strongly Extreme Points in Orlicz–Lorentz Function Space Equipped with the Orlicz Norm

The Journal of Geometric Analysis, 2023
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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
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Shang, Shaoqiang, Cui, Yunan, Fu, Yongqiang   +2 more
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Double sequences and Orlicz functions

Periodica Mathematica Hungarica, 2013
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Yurdakadim, T., Tas, E.
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Pointwise behaviour of Orlicz–Sobolev functions

Annali di Matematica Pura ed Applicata, 2008
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M‐constants in Orlicz–Lorentz function spaces

Mathematische Nachrichten, 2019
AbstractIn this paper some lower and upper estimates of M‐constants for Orlicz–Lorentz function spaces for both, the Luxemburg and the Amemiya norms, are given. Since degenerated Orlicz functions φ and degenerated weighted sequences ω are also admitted, this investigations concern the most possible wide class of Orlicz–Lorentz function spaces.
Cui, Yunan, Foralewski, Paweł, Hudzik, Henryk   +2 more
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Quasiconvex variational functionals in Orlicz–Sobolev spaces

Annali di Matematica Pura ed Applicata, 2011
The paper deals with integral functionals of the form \[ J(u)= \int_\Omega f(\nabla u)\,dx, \] where \(\Omega\) is a domain in \(\mathbb{R}^n\), \(u: \Omega\to\mathbb{R}^N\), and \(f: \mathbb{R}^{nN}\to \mathbb{R}\) is a nonnegative \(C^2\) function.
D. BREIT, VERDE, ANNA
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Orlicz spaces of essentially bounded functions and Banach-Orlicz algebras

Archiv der Mathematik, 1985
There are characterized all pairs [\(\Phi\),\(\mu\) ], where \(\Phi\) is a convex Orlicz function and \(\mu\) is a \(\sigma\)-finite, positive measure, for which \(L^{\Phi}(\mu)=L^{\infty}(\mu)\) and all these pairs that \(L^{\Phi}(\mu)\) are Banach quasi-algebras (or Banach algebras) under pointwise multiplication of functions.
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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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DOUBLE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS

2007
In this paper we introduce some new double sequence spaces using the Orlicz function andexamine some properties of the resulting sequence spaces.
Savaş, Ekrem, Patterson, Richard F.
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Complex rotundity of Musielak--Orlicz function spaces equipped with the Orlicz norm

Publicationes Mathematicae Debrecen, 2004
The authors study some aspects of the geometric theory of Musielak--Orlicz spaces. They prove in Musielak--Orlicz function spaces \(L^0_M\) equipped with the Orlicz norm some criteria for complex extreme points, complex local uniform rotundity, complex uniform rotundity and complex rotundity.
Hao, Cuixia, Liu, Lifang, Fang, Tingfu
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