Results 71 to 80 of about 7,369 (269)

A notion of Orlicz spaces for vector valued functions [PDF]

, 2005
summary:The notion of the Orlicz space is generalized to spaces of Banach-space valued functions. A well-known generalization is based on $N$-functions of a real variable.
Schappacher, Gudrun
core   +1 more source

Extreme Points in Orlicz Spaces Equipped with Snorm

Journal of Harbin University of Science and Technology, 2020
The extreme points and strongly extreme points are important contents of Banach space. In order to study the extreme points of Orlicz space equipped with snorm, some basic properties of the snorm are discussed firstly.
CUI Yunan, AN Lili, ZHAN Yujia
doaj   +1 more source

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, Xueqi Sun, Shuaishuai Liang, Vicenţiu D. Rădulescu   +3 more
wiley   +1 more source

Inductive limit topologies on Orlicz spaces [PDF]

, 1991
summary:Let $L^\varphi $ be an Orlicz space defined by a convex Orlicz function $\varphi $ and let $E^\varphi $ be the space of finite elements in $L^\varphi $ (= the ideal of all elements of order continuous norm). We show that the usual norm topology $\
Nowak, Marian
core  

Optimality of Cwikel-Solomyak estimates in Orlicz spaces [PDF]

, 2022
Fedor Sukochev, Dmitriy Zanin
openalex   +1 more source

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, M. Mastyło, J. Santos, E. B. Silva   +3 more
wiley   +1 more source

Weak uniform rotundity of Musielak--Orlicz spaces [PDF]

, 1991
summary:We give necessary and sufficient conditions for weak uniform rotundity of Mu\-sie\-lak--Orlicz spaces $L_\varphi $ with the Luxemburg norm.
Doman, Małgorzata
core  

Solvability of Generalized Hilfer Fractional p-Laplacian Differential Problems in Orlicz Spaces

Fractal and Fractional
This paper investigates non-fractional operators, a type of nonlocal operator, within the framework of Orlicz spaces. Using inclusions between certain function spaces, we prove the continuity and/or compactness of generalized operators in Orlicz spaces ...
Mieczysław Cichoń, Masouda M. A. Al-Fadel, Hussein A. H. Salem   +2 more
doaj   +1 more source

Kadec-Klee Property in Orlicz Function Spaces Equipped with S-Norms

Journal of Function Spaces, 2022
Using some new techniques, the necessary and sufficient conditions for Kadec-Klee property of Orlicz function spaces equipped with s-norms are presented.
Jiaqi Dong, Yunan Cui, Marek Wisła
doaj   +1 more source