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A Note on Smooth Points in Orlicz Sequence Spaces
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
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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
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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.
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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
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On a product-type operator from weighted Bergman-Orlicz space to some weighted type spaces.
Jiang ZJ.
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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
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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
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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
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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
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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
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