Results 71 to 80 of about 315,893 (200)
The fixed point property in Musielak-Orlicz sequence spaces [PDF]
, 2001 summary:In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an {\bf H}-point.
Cui, Yunan, Thompson, H. Bevan
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Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm
Abstract and Applied Analysis, 2014 The complex convexity of Musielak-Orlicz function spaces equipped with the p-Amemiya norm is mainly discussed.
Lili Chen, Yunan Cui, Yanfeng Zhao
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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
wiley +1 more source
Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm
AxiomsThis research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
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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
wiley +1 more source
On some fractional order hardy inequalities
Journal of Inequalities and Applications, 1997 Weighted inequalities for fractional derivatives (= fractional order Hardy-type inequalities) have recently been proved in [4] and [1]. In this paper, new inequalities of this type are proved and applied.
Lars-Erik Persson +2 more
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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
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KARAKTERISTIK OPERATOR PENGALI SEBAGAI PEMBANGUN NORM PADA RUANG ORLICZ [PDF]
, 2013 Ruang Orlicz merupakan perluasan dari ruang , yang diperkenalkan oleh Z.W Rirnbaum dan W. Orlicz pada tahun 1931. Diketahui bahwa ruang Orlicz merupakan salah satu dari ruang Banach.
Rukmana, Indra
core
On uniformly nonsquare points and nonsquare points of Orlicz spaces [PDF]
, 1992 summary:For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are ...
Li, Yanhong, Wang, Tingfu, Shi, Zhongrui
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Strongly Exposed Points of Orlicz Sequence Spaces Equipped with the p-Amemiya Norm
AxiomsUsing some new techniques, criteria for strongly exposed points of Orlicz sequence spaces generated by arbitrary Orlicz function and equipped with the p-Amemiya (1
Xiaoyan Li, Yunan Cui
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