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β Property in MusielakOrlicz Sequence Spaces Equipped with the Orlicz Norm

Journal of Harbin University of Science and Technology, 2020
MusielakOrlicz spaces is a generalization of classical Orlicz spaces．In this paper, the characterization for the β property of MusielakOrlicz sequence spaces equipped with the Orlicz norm was investigated．A criteria for β points in MusielakOrlicz ...
ZUO Mingxia, LIU Hongjiao
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M-constants in Orlicz Spaces Equipped with the Luxemburg Norm

Journal of Harbin University of Science and Technology, 2022
Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
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Dual spaces to Orlicz–Lorentz spaces [PDF]

Studia Mathematica, 2014
25 ...
Kamińska, Anna, Leśnik, Karol, Raynaud, Yves   +2 more
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Asymptotically isometric copies of c_{0} in Musielak-Orlicz spaces [PDF]

Opuscula 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
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Nonsquareness in Musielak-Orlicz-Bochner Function Spaces

Abstract and Applied Analysis, 2011
The criteria for nonsquareness in the classical Orlicz function spaces have been given already. However, because of the complication of Musielak-Orlicz-Bochner function spaces, at present the criteria for nonsquareness have not been discussed yet. In the
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
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Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm

Journal of Inequalities and Applications, 2020
In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given.
Lili An, Yunan Cui
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Harmonic Hardy-Orlicz spaces

Annales Academiae Scientiarum Fennicae Mathematica, 2013
Summary: Given an open hyperbolic Riemannian manifold, we show that various vector spaces of harmonic functions coincide if and only if they are finite dimensional.
Kilpeläinen, Tero, Koskela, Pekka, Masaoka, Hiroaki   +2 more
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Monotonicity of Orlicz Function Space-equipped with S-norm

Journal of Harbin University of Science and Technology, 2021
Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
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Extreme points and rotundity of Orlicz-Sobolev spaces

International Journal of Mathematics and Mathematical Sciences, 2002
It is well known that Sobolev spaces have played essential roles in solving nonlinear partial differential equations. Orlicz-Sobolev spaces are generalized from Sobolev spaces.
Shutao Chen, Changying Hu, Charles Xuejin Zhao   +2 more
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The Monotonicity of Orlicz-Lorentz Sequence Spaces Equipped with the F-norm

Journal of Harbin University of Science and Technology
We introduce a new F-normed spaces, namely Orlicz-Lorentz spaces equipped with the Mazur-Orlicz F-norm, and study some properties, prove that Orlicz-Lorentz spaces equipped with the F-norm are complete F-spaces.
XUE Yangyang, CUI Yunan
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