Results 81 to 90 of about 692,591 (225)
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
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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
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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 ...
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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
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Strongly Exposed Points of Orlicz Sequence Spaces Equipped with the p-Amemiya Norm
AxiomsUsing some new techniques, criteria for strongly exposed points of Orlicz sequence spaces generated by arbitrary Orlicz function and equipped with the p-Amemiya (1
Xiaoyan Li, Yunan Cui
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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
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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
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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 +3 more
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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
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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 +1 more
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