Results 61 to 70 of about 14,081 (237)
Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
AxiomsLower 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
Extreme Points in Orlicz Spaces Equipped with Snorm
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
Optimality of embeddings in Orlicz spaces
Mathematische Nachrichten, Volume 298, Issue 7, Page 2380-2400, July 2025.Abstract Working with function spaces in various branches of mathematical analysis introduces optimality problems, where the question of choosing a function space both accessible and expressive becomes a nontrivial exercise. A good middle ground is provided by Orlicz spaces, parameterized by a single Young function and thus accessible, yet expansive ...
Tomáš Beránek
wiley +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
New characterizations for differences of integral-type operators from α-Bloch space to β-Bloch-Orlicz space [PDF]
, 2021 Yu‐Xia Liang, Ya Wang
openalex +1 more source
The De Giorgi method for local and nonlocal systems
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We extend the De Giorgi iteration technique to the vectorial setting. For this we replace the usual scalar truncation operator by a vectorial shortening operator. As an application, we prove local boundedness for local and nonlocal nonlinear systems.
Linus Behn +3 more
wiley +1 more source
Orlicz Function Spaces and Composition Operator [PDF]
, 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
Approximative Compactness in Orlicz Spaces
Journal of Approximation Theory, 1998 Let \(M\) be a convex \(N\)-function and let \(\ell^M\) be the Orlicz sequence space with Luxemburg norm, \(L^M\) the Orlicz space with Luxemburg norm or with Orlicz norm of functions over a Lebesgue measurable set \(\Omega\subset \mathbb{R}\) of finite measure. It is proved that \(\ell^M\) is approximatively compact if and only if it is reflexive and \
Hudzik, Henryk, Wang, Baoxiang
openaire +2 more sources
Global second‐order estimates in anisotropic elliptic problems
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract This work deals with boundary value problems for second‐order nonlinear elliptic equations in divergence form, which emerge as Euler–Lagrange equations of integral functionals of the Calculus of Variations built upon possibly anisotropic norms of the gradient of trial functions.
Carlo Alberto Antonini +4 more
wiley +1 more source
An Innovative Approach to the Product of k‐Hybrid Functional Integral Equation
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.In this paper, our study focuses on exploring the solutions of a product of k‐hybrid functional integral equation which is characterized by multiple delays. We prove the existence of continuous, well‐defined, and bounded solutions on the semi‐infinite interval.
A. M. A. El-Sayed +2 more
wiley +1 more source