Results 21 to 30 of about 7,160,171 (246)
Strongly Extreme Points in Orlicz Function Spaces
Journal of Mathematical Analysis and Applications, 1995 For any Orlicz function \(\Phi\) and any \(\sigma\)-finite atomless measure \(\mu\), the authors give a criterion for \(x\) from the unit sphere of the Orlicz space \(L^ \Phi(\mu)\), equipped with the Luxemburg norm, to be strongly extreme. Further, they characterize Orlicz spaces \(L^ \Phi(\mu)\) which are isometric to \(L^ \infty(\mu)\).
H. Hudzik, W. Kurc, M. Wisła
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An inequality for functions with derivatives in an Orlicz space [PDF]
Proceedings of the American Mathematical Society, 1964 function p(v) defined for v > 0, continuous from the right, satisfying conditions p(0) =0, p(v)-- oo (v-- coo) and such that M(u) =fiuIp(v) dv for all u. Writing q(u) =sup { v: p(v) 0 for which p(v) ? e. Moreover, the Young's inequality uv ? M(u) +N(v) holds for all u and v (see [1, ??1-2]).
Bojanic, R., Musielak, J.
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Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm
Journal of Inequalities and Applications, 2020 In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given.
Lili An, Yunan Cui
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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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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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