Results 21 to 30 of about 706,285 (207)
M-constants in Orlicz Spaces Equipped with the Luxemburg Norm
Journal of Harbin University of Science and Technology, 2022 Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
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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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Proximunalty in Orlicz-bochner Function Spaces
Tamkang Journal of Mathematics, 2003 A (closed) subspace $ Y$ of a Banach space $ X$ is called proximinal if for every $ x\in X$ there exists some $ y\in Y$ such that $ \|x-y\|\le\|x-z\|$ for $ z\in Y$. It is the object of this paper is to study the proximinality of $ L^\Phi(I,Y)$ in $ L^\Phi(I,X)$ for some class of Young's functions $ \Phi$, where $ I$ is the unit interval.
Khandaqji, M., Khalil, R., Hussein, D.
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Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Open Mathematics, 2023 Let m∈Nm\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces Wm,φ(Rn){W}^{m,\varphi }\left({{\mathbb{R}}}^{n}).
Wu Ruimin, Wang Songbai
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Double Sequence Spaces by Means of Orlicz Functions [PDF]
Abstract and Applied Analysis, 2014 We define some classes of double entire and analytic sequences by means of Orlicz functions. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
Abdullah Alotaibi +2 more
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Extreme Points and Rotundity in Musielak-Orlicz-Bochner Function Spaces Endowed with Orlicz Norm
Abstract and Applied Analysis, 2010 The criteria for extreme point and rotundity of Musielak-Orlicz-Bochner function spaces equipped with Orlicz norm are given. Although criteria for extreme point of Musielak-Orlicz function spaces equipped with the Orlicz norm were known, we can easily ...
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
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Uniform rotundity in every direction of Orlicz function spaces equipped with the p-Amemiya norm
, 2019 Some conditions which guarantee that the Orlicz function spaces equipped with the p-Amemiya norm ...
Radosław Kaczmarek
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Composition and multiplication operators between Orlicz function spaces
, 2016 Composition operators and multiplication operators between two Orlicz function spaces are investigated. First, necessary and sufficient conditions for their continuity are presented in several forms.
T. Chawziuk +4 more
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Journal of Function Spaces, 2019 As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
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Boundedness of functions in fractional Orlicz–Sobolev spaces
Nonlinear Analysis, 2023 A necessary and sufficient condition for fractional Orlicz-Sobolev spaces to be continuously embedded into $L^\infty(\mathbb R^n)$ is exhibited. Under the same assumption, any function from the relevant fractional-order spaces is shown to be continuous. Improvements of this result are also offered.
Angela Alberico +3 more
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