Results 81 to 90 of about 4,926,903 (245)
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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Clifford Analysis on Orlicz-Sobolev Spaces [PDF]
arXiv, 2014 In this article we develop few of the analogous theoretical results of Clifford analysis over Orlicz-Sobolev spaces and study mapping properties of the Dirac operator and the Teodorescu transform over these function spaces. We also get analogous decomposition results of Clifford valued Orlicz spaces and the generalized Orlicz-Sobolev spaces.
arxiv
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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Exponential Orlicz Spaces: New Norms and Applications [PDF]
arXiv, 2004 The aim of this paper is investigating of Orlicz spaces with exponential function and correspondence Orlicz norm: we introduce some new equivalent norms, obtain the tail characterization, study the product of functions in Orlicz spaces etc. We consider some applications: estimation of operators in Orlicz spaces and problem of martingales convergence ...
arxiv
A note on conditional risk measures of Orlicz spaces and Orlicz-type modules
, 2016 We consider conditional and dynamic risk measures of Orlicz spaces and study their robust representation. For this purpose, given a probability space $(\Omega,\mathcal{E},\mathbb{P})$, a sub-$\sigma$-algebra $\mathcal{F}$ of $\mathcal{E}$, and a Young ...
Orihuela, José, Zapata, José Miguel
core
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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New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators
, 2013 We introduce a new class of Hardy spaces $H^{\varphi(\cdot,\cdot)}(\mathbb R^n)$, called Hardy spaces of Musielak-Orlicz type, which generalize the Hardy-Orlicz spaces of Janson and the weighted Hardy spaces of Garc\'ia-Cuerva, Str\"omberg, and ...
Ky, Luong Dang
core
Weyl's Law for the Steklov Problem on Surfaces with Rough Boundary. [PDF]
Arch Ration Mech Anal, 2023 Karpukhin M, Lagacé J, Polterovich I.
europepmc +1 more source
The Riesz potential in generalized Orlicz spaces
, 2016 In this article we prove a Riesz potential estimate and a Sobolev inequality for general generalized Orlicz spaces. Our assumptions are natural generalizations of the log ${\log}$ -Hölder continuity that is commonly used in the variable exponent case. We
Petteri Harjulehto, P. Hästö
semanticscholar +1 more source
Pointwise multipliers of Orlicz spaces
Archiv der Mathematik, 2010 We show that the result on multipliers of Orlicz spaces holds in general. Namely, under the assumption that three Young functions Φ1, Φ2 and Φ, generating corresponding Orlicz spaces, satisfy the esti- mate Φ 1 (u) ≤ CΦ 1 1 (u )Φ 1 2 (u) for all u> 0, we prove that if the pointwise product xy belongs to L Φ (μ) for all y ∈ L Φ 1 (μ), then x ∈ L Φ 2 (
Maligranda, Lech, Nakai, Eiichi
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