Results 1 to 10 of about 22,295 (126)
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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Nonsquareness and Locally Uniform Nonsquareness in Orlicz-Bochner Function Spaces Endowed with Luxemburg Norm [PDF]
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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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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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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ON THE FRECHET DIFFERENTIABILITY OF LUXEMBURG NORM IN THE SEQUENCE SPACES l^{p_n} WITH VARIABLE EXPONENTS [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 It is shown that the Luxemburg norm in the sequence space l^{(p_n)} with variable exponents is Frechet - differentiable and a formula expressing the Frechet derivative of this norm at any nonzero x ∈ l^{(p_n)} is given.
PAVEL MATEI
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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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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 Sequence of Luxemburg Norms of Derivatives
Tokyo Journal of Mathematics, 1994 Let \(f\in C^ \infty (\mathbb{R})\) such that \(f^{(n)}\in L_ p (\mathbb{R})\) for each \(n\). In a previous paper [Proc. Am. Math. Soc. 108, 73-76 (1990; Zbl 0707.26015)], the first author has shown that the limit \(d= \lim_{n\to\infty} \| f^{(n)} \|^{1/n}_{L_ p}\) always exists and \(d= \sup\{| \xi|\): \(\xi\in \text{supp } \widehat {f}\}\), where \(\
BANG, Ha Huy, MORIMOTO, Mitsuo
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On the nonsquare constants of L(Φ)[0,+1) [PDF]
, 2002 Let L(Φ)[0,+1) be the Orlicz function space generated by N−function Φ(u) with Luxemburg norm. We show the exact nonsquare constant of it when the right derivative φ(t) of Φ(u) is convex or concave.Let L(Φ)[0,+1) be the Orlicz ...
Yan, Y. Q.
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Asymptotic uniform moduli and Kottman constant of Orlicz sequence spaces [PDF]
, 2009 We give lower and upper bounds, involving moduli of asymptotic uniform convexity and smoothness, for the Kottman separation constant of Orlicz sequence spaces equipped with the Luxemburg norm.We give lower and upp er b ounds, involving moduli of ...
Delpech, Sylvain
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