Results 11 to 20 of about 238 (112)

I-convexity and Q-convexity in Orlicz–Bochner function spaces equipped with the Luxemburg norm

Annals of Functional Analysis, 2019
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Wanzhong Gong
exaly   +3 more sources

ON THE FRECHET DIFFERENTIABILITY OF LUXEMBURG NORM IN THE SEQUENCE SPACES l^{p_n} WITH VARIABLE EXPONENTS [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
It is shown that the Luxemburg norm in the sequence space l^{(p_n)} with variable exponents is Frechet - differentiable and a formula expressing the Frechet derivative of this norm at any nonzero x ∈ l^{(p_n)} is given.
PAVEL MATEI
doaj   +1 more source

Locally uniform convexity in Musielak–Orlicz function spaces of Bochner type endowed with the Luxemburg norm

Journal of Mathematical Analysis and Applications, 2011
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Cui Yunan, Shaoqiang Shang
exaly   +2 more sources

The Best Constant of Norm Equivalence in Orlicz Space

Journal of Harbin University of Science and Technology, 2023
The Orlicz norm is equivalent to the Luxemburg norm. In 2011 , BANG H H, HOANG N V, HUY V N have obtained the best equivalent constant between the Orlicz norm and the Luxemburg norm in Orlicz space which generated by N-functions.
YANG Yabo, CUI Yunan
doaj   +1 more source

On some local geometry of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm [PDF]

Banach Center Publications, 2005
Cui Yunan
exaly   +2 more sources

Singular anisotropic equations with a sign-changing perturbation

Nonlinear Analysis, 2023
We consider an anisotropic Dirichlet problem driven by the variable (p, q)-Laplacian (double phase problem). In the reaction, we have the competing effects of a singular term and of a superlinear perturbation. Contrary to most of the previous papers, we
Zhenhai Liu, Nikolaos S. Papageorgiou
doaj   +1 more source

The Sequence of Luxemburg Norms of Derivatives

Tokyo Journal of Mathematics, 1994
Let \(f\in C^ \infty (\mathbb{R})\) such that \(f^{(n)}\in L_ p (\mathbb{R})\) for each \(n\). In a previous paper [Proc. Am. Math. Soc. 108, 73-76 (1990; Zbl 0707.26015)], the first author has shown that the limit \(d= \lim_{n\to\infty} \| f^{(n)} \|^{1/n}_{L_ p}\) always exists and \(d= \sup\{| \xi|\): \(\xi\in \text{supp } \widehat {f}\}\), where \(\
BANG, Ha Huy, MORIMOTO, Mitsuo
openaire   +2 more sources

The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces

Journal of Function Spaces, 2019
It is well known that the modulus of nearly uniform smoothness related with the fixed point property is important in Banach spaces. In this paper, we prove that the modulus of nearly uniform smoothness in Köthe sequence spaces without absolutely ...
Shaoyong Zhang, Meiling Zhang, Yujia Zhan   +2 more
doaj   +1 more source

Asymptotically isometric copies of c_{0} in Musielak-Orlicz spaces [PDF]

Opuscula Mathematica, 2014
Criteria in order that a Musielak-Orlicz function space \(L^\Phi\) as well as Musielak-Orlicz sequence space \(l^\Phi\) contains an asymptotically isometric copy of \(c_0\) are given. These results extend some results of [Y.A. Cui, H. Hudzik, G. Lewicki,
Agata Narloch, Lucjan Szymaszkiewicz
doaj   +1 more source

The Strongly Extreme Points in the Musielak-Orlicz  Space Endowed With p-Amemiya Norm

Journal of Harbin University of Science and Technology, 2018
In order to study some geometric properties of MusielakOrlicz space endowed with pAmemiya norm, we discuss the necessary and sufficient conditions for the strongly extreme points in the MusielakOrlicz function space endowed with pAmemiya norm ...
JIA Jing, WANG Jun-ming
doaj   +1 more source