The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces
Journal of Function Spaces, 2019 It is well known that the modulus of nearly uniform smoothness related with the fixed point property is important in Banach spaces. In this paper, we prove that the modulus of nearly uniform smoothness in Köthe sequence spaces without absolutely ...
Shaoyong Zhang +2 more
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Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang +3 more
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On extreme points of Orlicz spaces with Orlicz norm
Collectanea Mathematica, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hudzik, Henryk, Wisla, Marek
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$\lambda$ PROPERTY FOR BOCHNER-ORLICZ SEQUENCE SPACES WITH ORLICZ NORM
Taiwanese Journal of Mathematics, 2008 We give the sufficient and necessary conditions of Bochner-Orlicz sequence spaces equipped with Orlicz norm that have the $\lambda$ property and uniform $\lambda$ property, respectively. The results show that the $\lambda$ property can not be lifted from $X$ to $l_{_{M}}(X)$.
Shi, Zhongrui, Xie, Linsen
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The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces
Open Mathematics, 2020 In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
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The domination theorem for operator classes generated by Orlicz spaces
Mathematische Nachrichten, Volume 298, Issue 11, Page 3576-3598, November 2025.Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez +3 more
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The exact values of nonsquare constants for a class of Orlicz spaces [PDF]
Opuscula Mathematica, 2005 We extend the \(M_{\triangle}\)-condition from [Han J.,Li X.: On Exact Value of Packing for a Class of Orlicz Spaces. (Chinese), Journal of Tongji Univ. 30 (2002) 7, 895–899] and introduce the \(\Phi_{\triangle}\)-condition at zero.
Jincai Wang
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On the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions equipped with the Orlicz norm [PDF]
, 2013 We characterize the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions, when it is equipped with the Orlicz norm. It is shown that this property is equivalent to the strict convexity of the Musielak-Orlicz function ...
Daoui, A., Smaali, M., Morsli, M.
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Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm
Abstract and Applied Analysis, 2014 The problem of packing spheres in Orlicz sequence space lΦ,p equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of lΦ,p is obtained, which contains the relevant work about lp (p>1) and classical Orlicz ...
Xin He, Jijie Yu, Yunan Cui, Xin Huo
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Subspace Embedding and Linear Regression with Orlicz Norm
CoRR, 2018 ICML ...
Alexandr Andoni +4 more
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