Results 61 to 70 of about 4,655,315 (283)
Characterization of generalized Orlicz spaces [PDF]
Communications in Contemporary Mathematics, 2018 The norm in classical Sobolev spaces can be expressed as a difference quotient. This expression can be used to generalize the space to the fractional smoothness case. Because the difference quotient is based on shifting the function, it cannot be used in generalized Orlicz spaces. In its place, we introduce a smoothed difference quotient and show that
Peter Hästö +3 more
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Coarse and uniform embeddings between Orlicz sequence spaces
, 2013 We give an almost complete description of the coarse and uniform embeddability between Orlicz sequence spaces. We show that the embeddability between two Orlicz sequence spaces is in most cases determined only by the values of their upper Matuszewska ...
F Albiac +11 more
core +1 more source
Journal of Function Spaces, 2019 As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
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Comparison of Orlicz-Lorentz spaces [PDF]
Studia Mathematica, 1992 Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Masty o, Maligranda, and Kami ska. In this paper, we consider the problem of comparing the Orlicz-Lorentz norms, and establish necessary and sufficient conditions for them to be equivalent.
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Composition operators in Orlicz spaces [PDF]
Journal of the Australian Mathematical Society, 2004 AbstractComposition operators Cτ between Orlicz spaces Lϕ (Ω, Σ, μ) generated by measurable and nonsingular transformations τ from Ω into itself are considered. We characterize boundedness and compactness of the composition operator between Orlicz spaces in terms of properties of the mapping τ, the function ϕ and the measure space (Ω, Σ, μ).
Cui, Yunan +3 more
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Multiplicity results for logarithmic double phase problems via Morse theory
Bulletin of the London Mathematical Society, EarlyView.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
wiley +1 more source
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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Open MathematicsWe define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
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Notes on bilinear multipliers on Orlicz spaces [PDF]
Mathematische Nachrichten, 2019 Let Φ1,Φ2 and Φ3 be Young functions and let LΦ1(R) , LΦ2(R) and LΦ3(R) be the corresponding Orlicz spaces. We say that a function m(ξ,η) defined on R×R is a bilinear multiplier of type (Φ1,Φ2,Φ3) if Bm(f,g)(x)=∫R∫Rf̂(ξ)ĝ(η)m(ξ,η)e2πi(ξ+η)xdξdηdefines a ...
Ó. Blasco, Alen Osançlıol
semanticscholar +1 more source
Superlinear perturbations of a double‐phase eigenvalue problem
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We consider a perturbed version of an eigenvalue problem for the double‐phase operator. The perturbation is superlinear, but need not satisfy the Ambrosetti–Robinowitz condition. Working on the Sobolev–Orlicz space W01,η(Ω)$ W^{1,\eta }_{0}(\Omega)$ with η(z,t)=α(z)tp+tq$ \eta (z,t)=\alpha (z)t^{p}+t^{q}$ for 1
Yunru Bai +2 more
wiley +1 more source