Results 11 to 20 of about 22,314 (145)
Uniformly non-$l_{n}^{(1)}$ Orlicz spaces with Luxemburg norm [PDF]
Studia Mathematica, 1985 It is given a criterion of uniformly non-\(\ell_ n^{(1)}\) Orlicz spaces simpler than one given by \textit{K. Sundaresan} in Isr. J. Math. 3(1965), 139-146 (1966; Zbl 0146.369). This is done in the case of a non-atomic (finite or infinite) as well as of a purely atomic measure.
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When and where the Orlicz and Luxemburg (quasi-) norms are equivalent?
Journal of Mathematical Analysis and Applications, 2020 Junta de Andalucía FQM ...
Ricardo del Campo +4 more
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Poincaré Inequalities with Luxemburg Norms in Lφ(m)-Averaging Domains [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm [PDF]
Colloquium 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 ...
Hudzik, Henryk, Zbąszyniak, Zenon
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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 +2 more
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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
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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 MusielakOrlicz space endowed with pAmemiya norm, we discuss the necessary and sufficient conditions for the strongly extreme points in the MusielakOrlicz function space endowed with pAmemiya norm ...
JIA Jing, WANG Jun-ming
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A new existence result for some nonlocal problems involving Orlicz spaces and its applications
Boundary Value Problems, 2022 This paper studies some quasilinear elliptic nonlocal equations involving Orlicz–Sobolev spaces. On the one hand, a new sub-supersolution theorem is proved via the pseudomonotone operator theory; on the other hand, using the obtained theorem, we present ...
Xiaohui Qiu, Baoqiang Yan
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Monotonicity and best approximation in Orlicz–Sobolev spaces with the Luxemburg norm
Journal of Mathematical Analysis and Applications, 2008 Let \(\Omega\) be a bounded and connected open subset of \(\mathbb{R}^{n}\), and let \((\Omega,\Sigma,\mu)\) be a nonatomic finite measure space. The modular of a measurable function \(u\) on \(\Omega\) is defined by \(\rho_{A}(u)=\int_{\Omega }A(u(t))\,dt\), where \(A(u)\) is a given \(N\)-function. The Orlicz space is \(L_{A}(\Omega )=\{u(t):\) there\
Chen, Shutao +3 more
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Property ( k) of Orlicz Sequence Spaces
Journal of Harbin University of Science and Technology, 2017 Property ( k) is an important geometric property in Banach spaces，and it is closely associated with fixed point property． By the geometric theory of Banach spaces and Orlicz spaces， we investigated the characterization for property( k) in a special ...
ZUO Ming-xia, PENG Li-na
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