Results 11 to 20 of about 8,406 (194)
Nonsquareness in Musielak-Orlicz-Bochner Function Spaces [PDF]
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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Extreme Points and Rotundity in Musielak-Orlicz-Bochner Function Spaces Endowed with Orlicz Norm [PDF]
Abstract and Applied Analysis, 2010 The criteria for extreme point and rotundity of Musielak-Orlicz-Bochner function spaces equipped with Orlicz norm are given. Although criteria for extreme point of Musielak-Orlicz function spaces equipped with the Orlicz norm were known, we can easily ...
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
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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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Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]
Mathematische Nachrichten, 2013 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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Compact Operators Under Orlicz Function
Indian Journal of Pure and Applied Mathematics, 2020 14pages
Ma, Zhenhua, Kui, Ji, Li, Yucheng
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Universal classes of Orlicz function spaces [PDF]
Pacific Journal of Mathematics, 1992 It is proved that for each ...
Hernández, Francisco L., Ruiz, César
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Smooth functions in Orlicz function spaces [PDF]
Archiv der Mathematik, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gonzalo, Raquel, Maleev, Rumen P.
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Atomic and Wavelet Characterization of Musielak–Orlicz Hardy Spaces for Generalized Orlicz Functions [PDF]
Integral Equations and Operator Theory, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mitsuo Izuki +2 more
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Проблемы анализа, 2023 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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Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Open Mathematics, 2023 Let m∈Nm\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces Wm,φ(Rn){W}^{m,\varphi }\left({{\mathbb{R}}}^{n}).
Wu Ruimin, Wang Songbai
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