Results 81 to 90 of about 14,381 (242)
Approximation in weighted Orlicz spaces
Mathematica Slovaca, 2011 Abstract We prove some direct and converse theorems of trigonometric approximation in weighted Orlicz spaces with weights satisfying so called Muckenhoupt’s A p condition.
Daniyal M. Israfilov +2 more
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Discrete logarithmic Sobolev inequalities in Banach spaces
Journal of the London Mathematical Society, Volume 109, Issue 2, February 2024.Abstract Let Cn={−1,1}n$\mathcal {C}_n=\lbrace -1,1\rbrace ^n$ be the discrete hypercube equipped with the uniform probability measure σn$\sigma _n$. We prove that if (E,∥·∥E)$(E,\Vert \cdot \Vert _E)$ is a Banach space of finite cotype and p∈[1,∞)$p\in [1,\infty)$, then every function f:Cn→E$f:\mathcal {C}_n\rightarrow E$ satisfies the dimension‐free ...
Dario Cordero‐Erausquin +1 more
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Boletim da Sociedade Paranaense de Matemática, 2017 Let $\mathbf{M}=(M_k)$ be a Musielak-Orlicz function. In this article, we introduce a new class of ideal convergent sequence spaces defined by Musielak-Orlicz function, using an infinite matrix, and a generalized difference matrix operator $B_{(i)}^{p}$
Bipan Hazarika, Karan Tamanag
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Journal of Function Spaces, Volume 2024, Issue 1, 2024.The Orlicz function‐defined sequence spaces of functions by relative uniform convergence of sequences related to p‐absolutely summable spaces are a new concept that is introduced in this article. We look at its various attributes, such as solidity, completeness, and symmetry. We also look at a few insertional connections involving these spaces.
Diksha Debbarma +4 more
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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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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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A Note On The Defininiton of An Orlicz Space [PDF]
Afyon Kocatepe University Journal of Sciences and Engineering, 2015 The Orlicz spaces were introduced by Z.W. Birnbaum and W. Orlicz in 1931 as a natural generalization of the classical Lebesgue spaces. For this generalization the function ݔ entering in the definition of Lebesgue's space is replaced by a more general convex function Ф.
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Mathematics, 2018 In this paper, the authors introduce the Orlicz spaces corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalent theorems for ...
Ling-Xiong Han, Feng Qi
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Annales Academiae Scientiarum Fennicae Mathematica, 2013 Given an open hyperbolic Riemannian manifold, we show that various vector spaces of harmonic functions coincide if and only if they are finite dimensional.
Hiroaki Masaoka +2 more
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Monotonicities of Quasi-Normed Orlicz Spaces
AxiomsIn 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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