Results 1 to 10 of about 198 (93)
Luxemburg Norm Characterizations of BLO Spaces in General Metric Measure Frameworks
MathematicsThis study provides new equivalent descriptions of the Bounded Lower Oscillation (BLO) space through Luxemburg-type Lφ integrability conditions, where φ is a nonnegative function with either convexity or concavity.
Liping Yang, Xin Jiang
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The Best Constant of Norm Equivalence in Orlicz Space
Journal of Harbin University of Science and Technology, 2023 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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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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Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm
Journal of Harbin University of Science and Technology, 2022 Nearly uniform noncreasy is a important property in Banach spaces. In this paper we introduce a new geometric property, which is called sub nearly uniformly convex property.
Cui Yun-an, Dai Ming-jun
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Singular anisotropic equations with a sign-changing perturbation
Nonlinear Analysis, 2023 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 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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Journal of Inequalities and Applications, 2011 Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally uniform nonsquare Banach space ...
Cui Yunan, Shang Shaoqiang, Fu Yongqiang
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