Results 71 to 80 of about 7,246 (194)
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
Sequence Spaces Defined by Musielak-Orlicz Function over -Normed Spaces
Abstract and Applied Analysis, 2013 In the present paper we introduce some sequence spaces over n-normed spaces defined by a Musielak-Orlicz function . We also study some topological properties and prove some inclusion relations between these spaces.
M. Mursaleen +2 more
doaj +1 more source
, 2011 The purpose of this article is to summerize some recent results of the author about Orlicz-Lorentz spaces - function spaces that provide a common generalization of Orlicz spaces and Lorentz ...
Montgomery-Smith, Stephen, 1963-
core
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
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
Strongly Almost Lacunary -Convergent Sequences
Abstract and Applied Analysis, 2013 We study some new strongly almost lacunary -convergent generalized difference sequence spaces defined by an Orlicz function. We give also some inclusion relations related to these sequence spaces.
Adem Kılıçman, Stuti Borgohain
doaj +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
Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces
Colloquium Mathematicum, 2015 We define Beurling–Orlicz spaces, weak Beurling–Orlicz spaces, Herz–Orlicz spaces, weak Herz–Orlicz spaces, central Morrey–Orlicz spaces and weak central Morrey–Orlicz spaces.
Maligranda, Lech, Matsuoka, Katsuo
openaire +3 more sources
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we find sufficient conditions on functions ω1, ω2 which ensure the boundedness of Riesz potentials and their commutators with BMO functions from one local complementary generalized Orlicz–Morrey spaces M ∁Φ,ω1x0ℝn to the spaces M ∁Ψ,ω2x0ℝn. As a consequence of the boundedness of the Riesz potential, we give the boundedness the fractional
Canay Aykol +3 more
wiley +1 more source
Inclusion Properties of Orlicz and Weak Orlicz Spaces
Journal of Mathematical and Fundamental Sciences, 2016 This paper discusses the structure of Orlicz spaces and weak Orlicz spaces on ℝn. We obtain some necessary and sufficient conditions for the inclusion property of these spaces.
Al Azhary Masta +2 more
doaj +1 more source