Results 31 to 40 of about 1,096,189 (211)
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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On the WM property of Orlicz sequence spaces endowed with the Orlicz norm [PDF]
, 1997 summary:We obtain the criterion of the WM property for Orlicz sequence spaces endowed with the Orlicz ...
Cuixia, Hao +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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Orlicz–Lorentz function spaces equipped with the Orlicz norm
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023 AbstractWe investigate Orlicz–Lorentz function spaces equipped with the Orlicz norm generated by any Orlicz function and any non-increasing weight function. As far as we know, this is the first time such a general research is conducted. First we show some basic properties of the Orlicz norm, including its equality to the Amemiya norm, the problem of ...
Paweł Foralewski, Joanna Kończak
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Dual spaces to Orlicz–Lorentz spaces [PDF]
Studia Mathematica, 2014 25 ...
Kamińska, Anna +2 more
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On the uniformly normal structure of Orlicz spaces with Orlicz norm [PDF]
, 1993 summary:We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the ...
Wang, Tingfu, Shi, Zhongrui
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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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An inequality in Orlicz function spaces with Orlicz norm [PDF]
, 2003 summary:We use Simonenko quantitative indices of an $\Cal N$-function $\Phi$ to estimate two parameters $q_\Phi$ and $Q_\Phi$ in Orlicz function spaces $L^\Phi[0,\infty)$ with Orlicz norm, and get the following inequality: $\frac{B_\Phi}{B_\Phi-1}\leq q_\
Wang, Jincai
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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 +2 more
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