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Approximation in S-normed Orlicz Spaces

مجلة بغداد للعلوم
Orlicz spaces generalize conventional Lebesgue spaces, providing a more flexible framework for analyzing functions. They are essential to functional analysis and related fields, particularly in approximation theory.
Zainab Abdulmunim Sharba, Hawraa Abbas Almurieb, Samah Alhashemi   +2 more
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Empirical Orlicz norms

Statistics & Probability Letters
The empirical Orlicz norm based on a random sample is defined as a natural estimator of the Orlicz norm of a univariate probability distribution. A law of large numbers is derived under minimal assumptions. The latter extends readily to a linear and a nonparametric regression model.
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Normal structure and weakly normal structure of Orlicz spaces [PDF]

, 1991
summary:Every Orlicz space equipped with Orlicz norm has weak sum property, therefore, it has weakly normal structure and fixed point property. A criterion of sum property also of normal structure for such spaces is given as well, which shows that every ...
Chen, Shutao, Duan, Yanzheng
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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

On some convexity properties in the Besicovitch-Musielak-Orlicz space of almost periodic functions with Luxemburg norm [PDF]

, 2012
summary:In this article, it is shown that geometrical properties such as local uniform convexity, mid point local uniform convexity, H-property and uniform convexity in every direction are equivalent in the Besicovitch-Musielak-Orlicz space of almost ...
Daoui, Amina, Kourat, Hocine, Bedouhene, Fazia   +2 more
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Multiplicativity Factors for Orlicz Space Function Norms

Journal of Mathematical Analysis and Applications, 1993
Let \(\varphi\) be a Young function on \([0, \infty)\), \((T, \Omega, m)\) be a measure space, and \(L^ \varphi = L^ \varphi (T, \Omega, m)\) be an Orlicz space equipped with the Luxemburg norm \(\rho_ \varphi\) (so that \(L^ \infty \equiv L^ \varphi\) for \(\varphi (s) = \{{0, \atop \infty,} {s \in [0,1]; \atop s > 1.})\). Put \(m_{\inf} = \inf \{m(A)
Arens, Richard, Goldberg, Moshe, Luxemburg, W. A. J.   +2 more
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Inductive limit topologies on Orlicz spaces [PDF]

, 1991
summary:Let $L^\varphi $ be an Orlicz space defined by a convex Orlicz function $\varphi $ and let $E^\varphi $ be the space of finite elements in $L^\varphi $ (= the ideal of all elements of order continuous norm). We show that the usual norm topology $\
Nowak, Marian
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On the smoothness of Orlicz sequence spaces equipped with Orlicz norm

Collectanea Mathematica, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Zhongrui, Wang, Tingfu
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Two properties of norms in Orlicz spaces

Le Matematiche, 2001
A characterization of inclusion between L^p-spaces is well-known. Here we present an analogous characterization for Orlicz spaces. To this aim we use some definitions of Orlicz and Luxemburg norm that are a little bit general then usual. Also this allows
Andrea Caruso
doaj  

On small Lebesgue spaces

Journal of Function Spaces and Applications, 2005
We consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss ...
Claudia Capone, Alberto Fiorenza
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