Results 31 to 40 of about 8,395 (175)

Kadec-Klee Property in Orlicz Function Spaces Equipped with S-Norms

Journal of Function Spaces, 2022
Using some new techniques, the necessary and sufficient conditions for Kadec-Klee property of Orlicz function spaces equipped with s-norms are presented.
Jiaqi Dong, Yunan Cui, Marek Wisła
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Uniformly Normal Structure of Orlicz Function Spaces Equipped with the p-Amemiya Norm

Journal of Harbin University of Science and Technology
In this paper, we mainly investigate the uniformly normal structure of Orlicz function spaces equipped with the p-Amemiya norm. A necessary and sufficient condition for Orlicz function spaces equipped with the p-Amemiya norm to have a uniformly normal
ZUO Mingxia, XU Zeyu
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Contractive projections in Orlicz sequence spaces

Abstract and Applied Analysis, 2004
We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function.
Beata Randrianantoanina
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The Daugavet property in the Musielak-Orlicz spaces

, 2014
We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
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EXTENSION OF SUBMULTIPLICATIVITY AND SUPERMULTIPLICATIVITY OF ORLICZ FUNCTIONS [PDF]

Real Analysis Exchange, 1998
The authors consider an Orlicz function \(\varphi \), submultiplicative (supermultiplicative) at infinity, and they prove that a necessary and sufficient condition for the existence of Orlicz functions \(\psi \), equivalent to \(\varphi \) at infinity and submultiplicative (supermultiplicative) on the whole of \(\mathbb R^n\), is the \(\Delta _2 ...
Hudzik, H., Mastylo, M., Maligranda, L., Persson, L. E.   +3 more
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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
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Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces

Colloquium Mathematicum, 2015
We define Beurling–Orlicz spaces, weak Beurling–Orlicz spaces, Herz–Orlicz spaces, weak Herz–Orlicz spaces, central Morrey–Orlicz spaces and weak central Morrey–Orlicz spaces.
Maligranda, Lech, Matsuoka, Katsuo
openaire   +3 more sources

On the Distribution of Random variables corresponding to Musielak-Orlicz norms

, 2013
Given a normalized Orlicz function $M$ we provide an easy formula for a distribution such that, if $X$ is a random variable distributed accordingly and $X_1,...,X_n$ are independent copies of $X$, then the expected value of the p-norm of the vector ...
Alonso-Gutierrez, David, Christensen, Soeren, Passenbrunner, Markus, Prochno, Joscha   +3 more
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Orlicz arithmetic convergence defined by matrix transformation and lacunary sequence [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2020
In this paper we introduce and study some spaces of Orlicz arithmetic convergence sequences with respect to matrix transformation and lacunary sequence.
Kuldip Raj, Anu Choudhary
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Intrinsic Structures of Certain Musielak-Orlicz Hardy Spaces

, 2017
For any $p\in(0,\,1]$, let $H^{\Phi_p}(\mathbb{R}^n)$ be the Musielak-Orlicz Hardy space associated with the Musielak-Orlicz growth function $\Phi_p$, defined by setting, for any $x\in\mathbb{R}^n$ and $t\in[0,\,\infty)$, $$ \Phi_{p}(x,\,t):= \begin ...
Cao, Jun, Liu, Liguang, Yang, Dachun, Yuan, Wen   +3 more
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