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Kadec-Klee Property in Orlicz Function Spaces Equipped with S-Norms
Journal of Function Spaces, 2022 Using some new techniques, the necessary and sufficient conditions for Kadec-Klee property of Orlicz function spaces equipped with s-norms are presented.
Jiaqi Dong, Yunan Cui, Marek Wisła
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The Daugavet property in the Musielak-Orlicz spaces
, 2014 We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
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EXTENSION OF SUBMULTIPLICATIVITY AND SUPERMULTIPLICATIVITY OF ORLICZ FUNCTIONS [PDF]
Real Analysis Exchange, 1998 The authors consider an Orlicz function \(\varphi \), submultiplicative (supermultiplicative) at infinity, and they prove that a necessary and sufficient condition for the existence of Orlicz functions \(\psi \), equivalent to \(\varphi \) at infinity and submultiplicative (supermultiplicative) on the whole of \(\mathbb R^n\), is the \(\Delta _2 ...
Hudzik, H. +3 more
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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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Contractive projections in Orlicz sequence spaces
Abstract and Applied Analysis, 2004 We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function.
Beata Randrianantoanina
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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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Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces
Colloquium Mathematicum, 2015 We define Beurling–Orlicz spaces, weak Beurling–Orlicz spaces, Herz–Orlicz spaces, weak Herz–Orlicz spaces, central Morrey–Orlicz spaces and weak central Morrey–Orlicz spaces.
Maligranda, Lech, Matsuoka, Katsuo
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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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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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Intrinsic Structures of Certain Musielak-Orlicz Hardy Spaces
, 2017 For any $p\in(0,\,1]$, let $H^{\Phi_p}(\mathbb{R}^n)$ be the Musielak-Orlicz Hardy space associated with the Musielak-Orlicz growth function $\Phi_p$, defined by setting, for any $x\in\mathbb{R}^n$ and $t\in[0,\,\infty)$, $$ \Phi_{p}(x,\,t):= \begin ...
Cao, Jun +3 more
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