Results 21 to 30 of about 331,225 (246)

Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm [PDF]

open access: yesColloquium Mathematicum, 1993
The paper gives criteria for smoothness of points in the unit sphere of Musielak-Orlicz sequence spaces. Let \(\varPhi=(\varPhi)_i\) be a Musielak-Orlicz function, \(\ell^{\varPhi}\) the corresponding Musielak-Orlicz sequence space endowed with the Luxemburg norm \(\|.\|\), let \(S(\ell^{\varPhi})\) be the unit sphere in \(\ell^{\varPhi}\), and \(h ...
Henryk Hudzik
exaly   +3 more sources

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

open access: yesAnnals of Functional Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wanzhong Gong
exaly   +3 more sources

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

open access: yesJournal of Mathematical Analysis and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui Yunan, Shaoqiang Shang
exaly   +2 more sources

Rosa Luxemburg [PDF]

open access: yes, 2021
Rosa Luxemburg was one of the most important intellectuals of the »long« 19th century, and her work in politics and within the European labor movement was extremely manifold. She understood socialism – especially to the displeasure of the Bolsheviks – as
Jacob, Frank
core   +3 more sources

The Best Constant of Norm Equivalence in Orlicz Space

open access: yesJournal 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

Singular anisotropic equations with a sign-changing perturbation

open access: yesNonlinear 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

open access: yesTokyo 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

open access: yesJournal 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   +2 more
doaj   +1 more source

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

open access: yesOpuscula 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

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