Results 81 to 90 of about 7,246 (194)

On maximal functions in Orlicz spaces [PDF]

Proceedings of the American Mathematical Society, 1996
Let Φ ( t ) \Phi (t) and Ψ ( t ) \Psi (t) be the functions having the representations Φ ( t ) = ∫ 0 t a ( s ...
openaire   +1 more source

On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali, Manochehr Kazemi, Shami A. M. Alsallami, Ji Gao   +3 more
wiley   +1 more source

Inclusions of Hardy Orlicz spaces

International Journal of Mathematics and Mathematical Sciences, 1986
Let ϕ be a continuous positive increasing function defined on [0,∞) such that ϕ(x+y)≤ϕ(x)+ϕ(y) and ϕ(0)=0. The Hardy-Orlicz space generated by ϕ is denoted by H(ϕ). In this paper, we prove that for ϕ≠ψ, if H(ϕ)=H(ψ) as sets, then H(ϕ)=H(ψ) as topological
Roshdi Khalil
doaj   +1 more source

The Existence of Central Approximate Identity for Beurling Segal Algebras and Related Homological Properties

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, some properties of weighted Segal algebras are investigated. The condition under which it guarantees the existence of a central approximate identity for weighted Segal algebras is given. Also, various homological and cohomological properties of weighted Segal algebras are obtained.
Batoul S. Mortazavi-Samarin, Mehdi Rostami, Amir Sahami, Pramita Mishra   +3 more
wiley   +1 more source

Nonsquareness and Locally Uniform Nonsquareness in Orlicz-Bochner Function Spaces Endowed with Luxemburg Norm

Journal of Inequalities and Applications, 2011
Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally uniform nonsquare Banach space ...
Cui Yunan, Shang Shaoqiang, Fu Yongqiang
doaj  

Noncommutative Orlicz–Hardy spaces associated with growth functions

Journal of Mathematical Analysis and Applications, 2014
Non-commutative Orlicz spaces can be defined either in an algebraic way [\textit{W. Kunze}, Math. Nachr. 147, 123--138 (1990; Zbl 0746.46062)] or via Banach function spaces [\textit{P. G. Dodds} et al., Math. Z. 201, No. 4, 583--597 (1989; Zbl 0653.46061)]. \textit{M. H. A. Al-Rashed} and \textit{B. Zegarliński} [Stud. Math. 180, No. 3, 199--209 (2007;
Abdurexit, Abdugheni, Bekjan, Turdebek N.   +1 more
openaire   +2 more sources

Bifurcation for indefinite‐weighted p$p$‐Laplacian problems with slightly subcritical nonlinearity

Mathematische Nachrichten, Volume 297, Issue 11, Page 3982-4002, November 2024.
Abstract We study a superlinear elliptic boundary value problem involving the p$p$‐Laplacian operator, with changing sign weights. The problem has positive solutions bifurcating from the trivial solution set at the two principal eigenvalues of the corresponding linear weighted boundary value problem.
Mabel Cuesta, Rosa Pardo
wiley   +1 more source

On small Lebesgue spaces

Journal of Function Spaces and Applications, 2005
We consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss ...
Claudia Capone, Alberto Fiorenza
doaj   +1 more source

Minimizers of abstract generalized Orlicz‐bounded variation energy

Mathematical Methods in the Applied Sciences, Volume 47, Issue 15, Page 11795-11809, October 2024.
A way to measure the lower growth rate of φ:Ω×[0,∞)→[0,∞)$$ \varphi :\Omega \times \left[0,\infty \right)\to \left[0,\infty \right) $$ is to require t↦φ(x,t)t−r$$ t\mapsto \varphi \left(x,t\right){t}^{-r} $$ to be increasing in (0,∞)$$ \left(0,\infty \right) $$.
Michela Eleuteri, Petteri Harjulehto, Peter Hästö   +2 more
wiley   +1 more source

On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence

Mathematical Modelling and Analysis, 2006
In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence.
A. Esi
doaj   +1 more source