Results 61 to 70 of about 7,369 (269)
Riesz angles of Orlicz sequence spaces [PDF]
summary:We introduce some practical calculation of the Riesz angles in Orlicz sequence spaces equipped with Luxemburg norm and Orlicz norm. For an $N$-function $\Phi(u)$ whose index function is monotonous, the exact value $a(l^{(\Phi)})$ of the Orlicz ...
Yan, Ya Qiang
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Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
Lower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
doaj +1 more source
Matrix Freedman Inequality for Sub‐Weibull Martingales
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
wiley +1 more source
Characteristic of convexity of Musielak-Orlicz function spaces equipped with the Luxemburg norm [PDF]
summary:In this paper we extend the result of [6] on the characteristic of convexity of Orlicz spaces to the more general case of Musielak-Orlicz spaces over a non-atomic measure space.
Henryk Hudzik +3 more
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Multiplicity results for logarithmic double phase problems via Morse theory
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
The criteria of strongly exposed points in Orlicz spaces [PDF]
summary:In Orlicz spaces, the necessary and sufficient conditions of strongly exposed points are ...
Ji, Donghai, Wang, Tingfu, Shi, Zhongrui
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Contractive and optimal sets in Musielak-Orlicz spaces with a smoothness condition [PDF]
In this paper we use our recent generalization of a theorem of Jamison-Kamińska-Lewicki (characterizing one-complemented subspaces in Musielak-Orlicz sequence spaces defined by Musielak-Orlicz functions satisfying a general smoothness condition) in order
Anna Denkowska
doaj +1 more source
Approximative compactness and full rotundity in Musielak–Orlicz spaces and Lorentz–Orlicz spaces
We prove that approximative compactness of a Banach space X is equivalent to the conjunction of reflexivity and the Kadec–Klee property of X .
Hudzik, Henryk +2 more
openaire +3 more sources
Superlinear perturbations of a double‐phase eigenvalue problem
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
Norms of certain operators on weighted L-spaces and Lorentz sequence spaces. [PDF]
The problem addressed is the exact determination of the norms of the classical Hilbert, Copson and averaging operators on weighted spaces and the corresponding Lorentz sequence spaces , with the power weighting sequence or the variant defined by .
Jameson, Graham J. O., Lashkaripour, R.
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