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Uniformly Normal Structure of Orlicz Function Spaces Equipped with the p-Amemiya Norm
Journal of Harbin University of Science and TechnologyIn this paper, we mainly investigate the uniformly normal structure of Orlicz function spaces equipped with the p-Amemiya norm. A necessary and sufficient condition for Orlicz function spaces equipped with the p-Amemiya norm to have a uniformly normal
ZUO Mingxia, XU Zeyu
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A note on conditional risk measures of Orlicz spaces and Orlicz-type modules
, 2016 We consider conditional and dynamic risk measures of Orlicz spaces and study their robust representation. For this purpose, given a probability space $(\Omega,\mathcal{E},\mathbb{P})$, a sub-$\sigma$-algebra $\mathcal{F}$ of $\mathcal{E}$, and a Young ...
Orihuela, José, Zapata, José Miguel
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Noncreasy and uniformly noncreasy Orlicz function spaces
Journal of Mathematical Analysis and Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Bor-Luh, Shi, Zhongrui
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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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Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED +3 more
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Matrix Freedman Inequality for Sub‐Weibull Martingales
Stat, Volume 14, Issue 4, December 2025.ABSTRACT In this paper, we establish a matrix Freedman inequality for martingales with sub‐Weibull tails. Under conditional ψα$$ {\psi}_{\alpha } $$ control of the increments, the top eigenvalue admits a non‐asymptotic tail bound with explicit, dimension‐aware constants.
Íñigo Torres
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On the Distribution of Random variables corresponding to Musielak-Orlicz norms
, 2013 Given a normalized Orlicz function $M$ we provide an easy formula for a distribution such that, if $X$ is a random variable distributed accordingly and $X_1,...,X_n$ are independent copies of $X$, then the expected value of the p-norm of the vector ...
Alonso-Gutierrez, David +3 more
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Multiplicity results for logarithmic double phase problems via Morse theory
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4178-4201, December 2025.Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu +2 more
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Kadec-Klee Properties of Calderón-Lozanovskiĭ Function Spaces
Journal of Function Spaces and Applications, 2012 We study Kadec-Klee properties with respect to global (local) convergence in measure. First, we present some results concerning Köthe spaces and Orlicz functions.
Paweł Kolwicz
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Mathematics, 2018 In this paper, the authors introduce the Orlicz spaces corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalent theorems for ...
Ling-Xiong Han, Feng Qi
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