Results 81 to 90 of about 400,575 (187)
$M$-ideal properties in Orlicz-Lorentz spaces [PDF]
arXiv, 2017 We provide explicit formulas for the norm of bounded linear functionals on Orlicz-Lorentz function spaces $\Lambda_{\varphi,w}$ equipped with two standard Luxemburg and Orlicz norms. Any bounded linear functional is a sum of regular and singular functionals, and we show that the norm of a singular functional is the same regardless of the norm in the ...
arxiv
Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm
Abstract and Applied Analysis, 2014 The problem of packing spheres in Orlicz sequence space lΦ,p equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of lΦ,p is obtained, which contains the relevant work about lp (p>1) and classical Orlicz ...
Xin He, Jijie Yu, Yunan Cui, Xin Huo
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Comparison of Orlicz-Lorentz spaces [PDF]
Stud. Math. 103 (2), (1992), 161-189, 1991 Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Masty\l o, Maligranda, and Kami\'nska. In this paper, we consider the problem of comparing the Orlicz-Lorentz norms, and establish necessary and sufficient conditions for them to be equivalent.
arxiv
On Imbeddings into Orlicz Spaces and Some Applications [PDF]
, 1967 Neil S. Trudinger
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Pointwise multipliers of Orlicz spaces
Archiv der Mathematik, 2010 We show that the result on multipliers of Orlicz spaces holds in general. Namely, under the assumption that three Young functions Φ1, Φ2 and Φ, generating corresponding Orlicz spaces, satisfy the esti- mate Φ 1 (u) ≤ CΦ 1 1 (u )Φ 1 2 (u) for all u> 0, we prove that if the pointwise product xy belongs to L Φ (μ) for all y ∈ L Φ 1 (μ), then x ∈ L Φ 2 (
Maligranda, Lech, Nakai, Eiichi
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Parabolic Equations in Musielak-Orlicz-Sobolev Spaces
International Journal of Analysis and Applications, 2013 We prove in this paper the existence of solutions of nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces. An approximation and a trace results in inhomogeneous Musielak-Orlicz-Sobolev spaces have also been provided.
M.L. Ahmed Oubeid +2 more
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The modular sequence space of $\chi^{2}$
Boletim da Sociedade Paranaense de Matemática, 2014 In this paper we introduce the modular sequence space of $\chi^{2}$ and examine some topological properties of these space also establish some duals results among them.
N. Subramanian +2 more
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Orlicz Mixed Affine Quermassintegrals [PDF]
arXiv, 2018 Lutwak's notion of affine quermassintegrals of a convex body quickly became of great importance in convex and affine geometry and more recently, also in asymptotic geometric analysis. In this note we introduce the notion of Orlicz mixed affine quermassintegrals of a convex body as a generalization of the affine quermassintegrals in the framework of the
arxiv
On the spectra of certain Laurent operators on Orlicz spaces $l^{Φ}$ [PDF]
, 1968 W. A. J. Luxemburg
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Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm
Abstract and Applied Analysis, 2014 The complex convexity of Musielak-Orlicz function spaces equipped with the p-Amemiya norm is mainly discussed.
Lili Chen, Yunan Cui, Yanfeng Zhao
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