Results 21 to 30 of about 7,369 (269)
Uniform rotundity in every direction of Orlicz-Sobolev spaces
Journal of Inequalities and Applications, 2016 In this paper, we study the extreme points and rotundity of Orlicz-Sobolev spaces. Analyzing and combining the properties of both Orlicz spaces and Sobolev spaces, we get the sufficient and necessary criteria for Orlicz-Sobolev spaces equipped with a ...
Fayun Cao, Rui Mao, Bing Wang
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Hypercyclicity of Composition Operators on Orlicz Function Spaces
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are
Jafari F., Kamali Z.
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Uniformly Nonsquare in Orlicz Space Equipped with the Mazur-Orlicz F-Norm
Journal of Function Spaces, 2021 The definition of uniformly nonsquareness in Banach spaces is extended to F-normed spaces. Most of the results from this paper concern (uniformly) nonsquareness in the sense of James or in the sense of Schäffer in Orlicz spaces equipped with the Mazur ...
Yunan Cui, Tongyu Wang
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Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
Axioms, 2023 In this paper, the necessary and sufficient conditions for the upper strict monotonicity point and the upper local uniform monotonicity point are given in the case of Musielak–Orlicz spaces equipped with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
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β Property in MusielakOrlicz Sequence Spaces Equipped with the Orlicz Norm
Journal of Harbin University of Science and Technology, 2020 MusielakOrlicz spaces is a generalization of classical Orlicz spaces．In this paper, the characterization for the β property of MusielakOrlicz sequence spaces equipped with the Orlicz norm was investigated．A criteria for β points in MusielakOrlicz ...
ZUO Mingxia, LIU Hongjiao
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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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Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]
Mathematische Nachrichten, 2013 In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Vigelis, Rui F., Cavalcante, Charles C.
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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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Dual spaces to Orlicz–Lorentz spaces [PDF]
Studia Mathematica, 2014 25 ...
Kamińska, Anna +2 more
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Nonsquareness in Musielak-Orlicz-Bochner Function Spaces
Abstract and Applied Analysis, 2011 The criteria for nonsquareness in the classical Orlicz function spaces have been given already. However, because of the complication of Musielak-Orlicz-Bochner function spaces, at present the criteria for nonsquareness have not been discussed yet. In the
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
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