Results 11 to 20 of about 12,193 (245)

On fractional Orlicz–Sobolev spaces [PDF]

open access: yesAnalysis and Mathematical Physics, 2021
AbstractSome recent results on the theory of fractional Orlicz–Sobolev spaces are surveyed. They concern Sobolev type embeddings for these spaces with an optimal Orlicz target, related Hardy type inequalities, and criteria for compact embeddings.
Angela Alberico   +3 more
openaire   +5 more sources

Examples of weakly compact sets in Orlicz spaces [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
This paper provides a number of examples of relatively weakly compact sets in Orlicz spaces. We show some results arising from these examples.
D. Dauitbek   +2 more
doaj   +3 more sources

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

Flat Orlicz spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1981
A Banach space X is called flat if there exists a curve on the surface of the unit ball of X with antipodal endpoints and length two. Although one's initial (finite dimensional) reaction to this definition is to question the existence of such spaces, Harrell and Karlovitz ([1] and [2]) have shown that some of the classical Banach spaces are flat; in [2]
Pach, A. J., Smith, M. A., Turett, B.
openaire   +2 more sources

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

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

Extreme Points in Orlicz Spaces Equipped with Snorm

open access: yesJournal of Harbin University of Science and Technology, 2020
The extreme points and strongly extreme points are important contents of Banach space. In order to study the extreme points of Orlicz space equipped with snorm, some basic properties of the snorm are discussed firstly.
CUI Yunan, AN Lili, ZHAN Yujia
doaj   +1 more source

The Strongly Extreme Points in the Musielak-Orlicz  Space Endowed With p-Amemiya Norm

open access: yesJournal of Harbin University of Science and Technology, 2018
In order to study some geometric properties of MusielakOrlicz space endowed with pAmemiya norm, we discuss the necessary and sufficient conditions for the strongly extreme points in the MusielakOrlicz function space endowed with pAmemiya norm ...
JIA Jing, WANG Jun-ming
doaj   +1 more source

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