Results 41 to 50 of about 1,659 (229)

On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz nor [PDF]

, 2003
The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm.
Morsli, Mohamed, Bedouhene, Fazia
core   +2 more sources

Entropy and renormalized solutions for a nonlinear elliptic problem in Musielak-Orlicz spaces

Современная математика: Фундаментальные направления, 2023
In this paper, we establish the equivalence of entropy and renormalized solutions of second-order elliptic equations with nonlinearities defined by the Musielak-Orlicz functions and the right-hand side from the space L1(Ω).
L. M. Kozhevnikova
doaj   +1 more source

Rotundity of Orlicz Spaces

Indagationes Mathematicae (Proceedings), 1976
AbstractRotund Orlicz spaces and Orlicz spaces that contain isomorphic copies of l∘ and co are characterized in the class of Orlicz spaces over measure spaces that are not purely atomic.
openaire   +2 more sources

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13324-13360, August 2026.
ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley   +1 more source

Carleson Measure Theorems for Large Hardy-Orlicz and Bergman-Orlicz Spaces

Journal of Function Spaces and Applications, 2012
We characterize those measures μ for which the Hardy-Orlicz (resp., weighted Bergman-Orlicz) space HΨ1 (resp., AαΨ1) of the unit ball of CN embeds boundedly or compactly into the Orlicz space LΨ2(BN¯,μ) (resp., LΨ2(BN,μ)), when the defining functions Ψ1 ...
Stéphane Charpentier, Benoît Sehba
doaj   +1 more source

Multiplication Operators on Orlicz Generalized Difference (sss)

Journal of Function Spaces, 2020
In this article, we inspect the sufficient conditions on the Orlicz generalized difference sequence space to be premodular Banach (sss). We look at some topological and geometrical structures of the multiplication operators described on Orlicz ...
Awad A. Bakery, OM Kalthum S. K. Mohamed
doaj   +1 more source

The Dual Orlicz–Aleksandrov–Fenchel Inequality

Mathematics, 2020
In this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we put forward a new affine geometric quantity ...
Chang-Jian Zhao
doaj   +1 more source

Self‐improving property for certain degenerate functionals with generalized Orlicz growth

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We investigate a self‐improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasi‐minimizer has local higher ...
Vertti Hietanen, Mikyoung Lee
wiley   +1 more source

Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm

Journal of Function Spaces, 2019
As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
doaj   +1 more source

A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure

Mathematische Nachrichten, Volume 299, Issue 7, Page 1540-1548, July 2026.
ABSTRACT In this paper, we give an elementary proof that sets of zero p,1$p,1$‐Sobolev‐Lorentz capacity are Hn−p$\mathcal {H}^{n-p}$‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐(p,1)$(p,1)$ capacity equal to zero with Hausdorff dimension equal n−p$n-p$.
Daniel Campbell
wiley   +1 more source