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Orlicz Function Spaces and Composition Operator [PDF]

open access: yes, 2013
In our dissertation we present here the salient features from the theory of Orlicz function spaces, LÖ(Ù), generated by the Young’s function Ö on an arbitrary ó−finite measurable spaces Ù.
Giri, Chinmay Kumar
core  

Superlinear perturbations of a double‐phase eigenvalue problem

open access: yesTransactions 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

Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

open access: yesAxioms
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

The exact values of nonsquare constants for a class of Orlicz spaces [PDF]

open access: yesOpuscula 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
doaj  

REFLEKSIVITAS PADA RUANG ORLICZ DENGAN KEKONVERGENAN RATA-RATA [PDF]

open access: yes, 2014
Ruang Orlicz (L_θ ) merupakan perluasan dari ruang terintegral Lebesgue L_p,p≥1 yang diperkenalkan oleh Z.W. Rirnbaun dan W. Orlicz pada sekitar tahun 1931.
Utari, Mila Apriliani
core  

Completeness of Sequence Spaces Generated by an Orlicz Function

open access: yesEKSAKTA: Journal of Sciences and Data Analysis, 2019
In this paper, we discuss about completeness property of Orlicz sequence spaces defined by an Orlicz function. Orlicz sequence space is generalization of p-summable sequence space, for every   which is also an Orlicz sequence space. Based on the property
N. Khusnussaadah, S. Supama
semanticscholar   +1 more source

Orlicz Algebras Associated to a Banach Function Space

open access: yesHacettepe Journal of Mathematics and Statistics, 2023
In this paper, we study the spaces ${\mathcal X}^\Phi$ as Banach algebras, where $\mathcal X$ is a quasi-Banach space and $\Phi$ is a Young function, and extend some well-known facts regarding Lebesgue and Orlicz spaces on this new structure. Also, for each $p\geq 1$, we give some necessary condition for the space $\mathcal{X}^p$ to be a Banach algebra
Chung-chuan CHEN   +2 more
openaire   +2 more sources

Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity

open access: yesTransactions 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
wiley   +1 more source

The domination theorem for operator classes generated by Orlicz spaces

open access: yesMathematische 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
wiley   +1 more source

Embeddings between sequence variable Lebesgue spaces, strict and finitely strict singularity

open access: yesMathematische Nachrichten, Volume 298, Issue 9, Page 2926-2941, September 2025.
Abstract For two variable Lebesgue spaces ℓpn$\ell _{p_n}$ and ℓqn$\ell _{q_n}$, with 0
Jan Lang, Aleš Nekvinda
wiley   +1 more source

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