Results 21 to 30 of about 331,225 (246)
Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm [PDF]
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
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Wanzhong Gong
exaly +3 more sources
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Cui Yunan, Shaoqiang Shang
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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
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The Best Constant of Norm Equivalence in Orlicz Space
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
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On some local geometry of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm [PDF]
Cui Yunan
exaly +2 more sources
Singular anisotropic equations with a sign-changing perturbation
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
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The Sequence of Luxemburg Norms of Derivatives
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
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The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces
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
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Asymptotically isometric copies of c_{0} in Musielak-Orlicz spaces [PDF]
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
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