Results 11 to 20 of about 12,193 (245)
On fractional Orlicz–Sobolev spaces [PDF]
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]
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
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
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
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]
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]
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
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 Snorm
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
In order to study some geometric properties of MusielakOrlicz space endowed with pAmemiya norm, we discuss the necessary and sufficient conditions for the strongly extreme points in the MusielakOrlicz function space endowed with pAmemiya norm ...
JIA Jing, WANG Jun-ming
doaj +1 more source

