Results 71 to 80 of about 400,575 (187)

The dual Orlicz-Aleksandrov-Fenchel inequality [PDF]

arXiv, 2020
By calculating the first order variation of the dual mixed volumes, we put forward a new concept Orlicz multiple dual mixed volumes. The classical dual mixed volumes and dual Aleksandrov-Fenchel inequality are generalized to the Orlicz space. We establish dual Orlicz Aleksandrov-Fenchel inequality and a new concept of Lp multiple dual mixed volume and ...
arxiv  

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 ...
openaire   +2 more sources

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.
openaire   +3 more sources

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  

Harmonic Hardy-Orlicz spaces

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, Tero Kilpeläinen, Pekka Koskela   +2 more
openaire   +4 more sources

Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces

Demonstratio Mathematica
In the present work, we establish a quantitative estimate for the perturbed sampling Kantorovich operators in Orlicz spaces, in terms of the modulus of smoothness, defined by means of its modular functional.
Costarelli Danilo, De Angelis Eleonora, Vinti Gianluca   +2 more
doaj   +1 more source

Kadec-Klee Properties of Calderón-Lozanovskiĭ Function Spaces

Journal of Function Spaces and Applications, 2012
We study Kadec-Klee properties with respect to global (local) convergence in measure. First, we present some results concerning Köthe spaces and Orlicz functions.
Paweł Kolwicz
doaj   +1 more source

ORLICZ SPACES OF DIFFERENTIAL FORMS ON RIEMANNIAN MANIFOLDS: DUALITY AND COHOMOLOGY

Проблемы анализа, 2017
We consider Orlicz spaces of differential forms on a Riemannian manifold. A Riesz-type theorem about the functionals on Orlicz spaces of forms is proved and other duality theorems are obtained therefrom.
Ya. A. Kopylov
doaj   +1 more source

On the A-Laplacian

Abstract and Applied Analysis, 2003
We prove, for Orlicz spaces LA(ℝN) such that A satisfies the Δ2 condition, the nonresolvability of the A-Laplacian equation ΔAu+h=0 on ℝN, where ∫h≠0, if ℝN is A-parabolic.
Noureddine Aïssaoui
doaj   +1 more source

Smoothness of the Orlicz Norm in Musielak-Orlicz Function Spaces [PDF]

arXiv, 2014
In this paper, we present a characterization of support functionals and smooth points in $L_{0}^{\Phi}$, the Musielak-Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of $L_{0}^{\Phi}$ is also obtained. Some expressions involving the norms of functionals in $(L_{0}^{\Phi})^{*}$, the topological dual of $L_{0}^{\Phi}$
arxiv