Results 11 to 20 of about 4,657,157 (233)

Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm [PDF]

open access: yesOpuscula Mathematica, 2021
In the present paper, we give criteria for the existence of extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm.
Fatiha Boulahia, Slimane Hassaine
doaj   +1 more source

The Best Constant of Norm Equivalence in Orlicz Space

open access: yesJournal of Harbin University of Science and Technology, 2023
The Orlicz norm is equivalent to the Luxemburg norm. In 2011 , BANG H H, HOANG N V, HUY V N have obtained the best equivalent constant between the Orlicz norm and the Luxemburg norm in Orlicz space which generated by N-functions.
YANG Yabo, CUI Yunan
doaj   +1 more source

An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm

open access: yesJournal of Harbin University of Science and Technology, 2021
In Orlicz space,the formula of computation of a new norm that we call Φ-Amemiya norm is given. In this paper,we disscuss the conditions of norm attainability of the Orlicz space equipped with Φ-Amemiya norm, and the criterion of an extreme point is ...
CUI Yun-an, AN Li-li
doaj   +1 more source

A Note on Smooth Points in Orlicz Sequence Spaces

open access: yesJournal of Harbin University of Science and Technology, 2021
In this paper,when φ( u) /u→A( u→∞ ) the criterion of smooth points in Orlicz sequence space generated by general Orlicz functions and the equivalence conditions of smooth points with very smooth points and strong smooth points are given. On this basis,
WANG Jing, CUI Yun-an
doaj   +1 more source

β Property in Orlicz Sequence Spaces Equipped with s-norm

open access: yesJournal of Harbin University of Science and Technology, 2022
Orlicz spaces equipped with s-norm is an extension of Orlicz spaces. In order to studing the H property and the property β in Orlicz space equipped with s-norm,some basic properties of the s-norm are discussed firstly.
CUI Yun-an, DONG Jia-qi
doaj   +1 more source

GENERALIZED ORLICZ SEQUENCE SPACES

open access: yesBarekeng, 2023
Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces.
Cece Kustiawan   +5 more
doaj   +1 more source

Compact composition operators on Bergman-Orlicz spaces [PDF]

open access: yes, 2010
We construct an analytic self-map $\phi$ of the unit disk and an Orlicz function $\Psi$ for which the composition operator of symbol $\phi$ is compact on the Hardy-Orlicz space $H^\Psi$, but not compact on the Bergman-Orlicz space ${\mathfrak B}^\Psi ...
Lefèvre, Pascal   +3 more
core   +9 more sources

Asymptotically isometric copies of c_{0} in Musielak-Orlicz spaces [PDF]

open access: yesOpuscula Mathematica, 2014
Criteria in order that a Musielak-Orlicz function space \(L^\Phi\) as well as Musielak-Orlicz sequence space \(l^\Phi\) contains an asymptotically isometric copy of \(c_0\) are given. These results extend some results of [Y.A. Cui, H. Hudzik, G. Lewicki,
Agata Narloch, Lucjan Szymaszkiewicz
doaj   +1 more source

Henstock–Orlicz space and its dense space [PDF]

open access: yes, 2019
The motivation of the article is to introduce Henstock-Orlicz space with non-absolute integrable functions. We prove $ C_{0}^{\infty} $ is dense in the Henstock-Orlicz space, which is not dense in the classical Orlicz space.
B. Hazarika, H. Kalita
semanticscholar   +1 more source

LITTLEWOOD–PALEY 𝑔*_𝜆-FUNCTION CHARACTERIZATIONS OF MUSIELAK–ORLICZ HARDY SPACES ON SPACES OF HOMOGENEOUS TYPE

open access: yesПроблемы анализа, 2023
Let (𝒳 , 𝑑, 𝜇) be a space of homogeneous type, in the sense of Coifman and Weiss, and 𝜙 : 𝒳 x [0,\infty) -> [0, \infty) satisfy that, for almost every 𝑥 \in 𝒳, 𝜙(𝑥,.) is an Orlicz function and that 𝜙(., 𝑡) is a Muckenhoupt weight uniformly in 𝑡 \in [0 ...
X. Yan
doaj   +1 more source

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