Results 31 to 40 of about 1,131,073 (219)
Musielak-Orlicz-Sobolev spaces on metric measure spaces [PDF]
summary:Our aim in this paper is to study Musielak-Orlicz-Sobolev spaces on metric measure spaces. We consider a Hajłasz-type condition and a Newtonian condition.
Ohno, Takao +3 more
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β Property in MusielakOrlicz Sequence Spaces Equipped with the Orlicz Norm
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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Uniformly Nonsquare in Orlicz Space Equipped with the Mazur-Orlicz F-Norm
The definition of uniformly nonsquareness in Banach spaces is extended to F-normed spaces. Most of the results from this paper concern (uniformly) nonsquareness in the sense of James or in the sense of Schäffer in Orlicz spaces equipped with the Mazur ...
Yunan Cui, Tongyu Wang
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Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]
In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Vigelis, Rui F., Cavalcante, Charles C.
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M-constants in Orlicz Spaces Equipped with the Luxemburg Norm
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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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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Orlicz–Lorentz function spaces equipped with the Orlicz norm
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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Packing constant for Cesàro-Orlicz sequence spaces [PDF]
summary:The packing constant is an important and interesting geometric parameter of Banach spaces. Inspired by the packing constant for Orlicz sequence spaces, the main purpose of this paper is calculating the Kottman constant and the packing constant of
Ma, Zhen-Hua +5 more
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Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm
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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Dual spaces to Orlicz–Lorentz spaces [PDF]
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Kamińska, Anna +2 more
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