Results 81 to 90 of about 14,081 (237)

Composition of Operators in Orlicz Spaces

Rocky Mountain Journal of Mathematics, 2008
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Bongioanni, B., Harboure, E.
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A revised condition for harmonic analysis in generalized Orlicz spaces on unbounded domains

Mathematische Nachrichten, Volume 297, Issue 9, Page 3184-3191, September 2024.
Abstract Conditions for harmonic analysis in generalized Orlicz spaces have been studied over the past decade. One approach involves the generalized inverse of so‐called weak Φ$\Phi$‐functions. It featured prominently in the monograph Orlicz Spaces and Generalized Orlicz Spaces [P. Harjulehto and P. Hästö, Lecture Notes in Mathematics, vol.
Petteri Harjulehto, Peter Hästö, Artur Słabuszewski   +2 more
wiley   +1 more source

Integration in Orlicz-Bochner Spaces [PDF]

Journal of Function Spaces, 2018
Let (Ω,Σ,μ) be a complete σ-finite measure space, φ be a Young function, and X and Y be Banach spaces. Let Lφ(X) denote the Orlicz-Bochner space, and Tφ∧ denote the finest Lebesgue topology on Lφ(X). We study the problem of integral representation of (Tφ∧,·Y)-continuous linear operators T:Lφ(X)→Y with respect to the representing operator-valued ...
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Approximative compactness and full rotundity in Musielak–Orlicz spaces and Lorentz–Orlicz spaces

Zeitschrift für Analysis und ihre Anwendungen, 2006
We prove that approximative compactness of a Banach space X is equivalent to the conjunction of reflexivity and the Kadec–Klee property of X .
Hudzik, Henryk, Kowalewski, Wojciech, Lewicki, Grzegorz   +2 more
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ON \(\lambda\)-WEAK CONVERGENCE OF SEQUENCES DEFINED BY AN ORLICZ FUNCTION

Ural Mathematical Journal
In this article, we introduce and rigorously analyze the concept of difference \(\lambda\)-weak convergence for sequences defined by an Orlicz function.
Ömer Kişi, Mehmet Gürdal
doaj   +1 more source

Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces

Boundary Value Problems, 2017
We investigate the existence of solutions of the Kirchhoff elliptic equations with nonlinearity in R N $R^{N}$ . Using the ideas developed in Orlicz spaces and the technique of variation principle, we prove that there are at least three solutions in ...
Shujun Wu
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Groups of isometries on Orlicz spaces [PDF]

Pacific Journal of Mathematics, 1973
1* Introduction* Let X be a real or complex Orlicz space of functions on an atomic measure space; an additional (not very restrictive) condition will be imposed on X which implies in particular that X Φ L°°. If X is a Hubert space, there are numerous strongly continuous one parameter groups of isometries on X, according to a classical theorem of M.
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Monotonicities of Quasi-Normed Orlicz Spaces

Axioms
In this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped with a Luxemburg quasi-norm contain both classical spaces Lp(p≥1) and Lp ...
Dong Ji, Yunan Cui
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𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces

International Journal of Mathematics and Mathematical Sciences, 2011
An alternative interpretation of a family of weighted Carleson measures is used to characterize 𝑝-Carleson measures for a class of Hardy-Orlicz spaces admitting a nice weak factorization.
Benoît Florent Sehba
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Perturbation Method in Orlicz Sequence Spaces [PDF]

, 2023
Hristina Topalova, Nadia Zlateva
openalex   +1 more source