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Nonlinear Analysis: Theory, Methods & Applications, 2012
Let \(\Phi\) and \(\Psi\) be a Musielak-Orlicz function and its complementary function in the sense of Young, respectively. The main result of this paper concerns weak uniform rotundity in Musielak-Orlicz function spaces of Bochner type equipped with the Luxemburg norm (see Theorem 2 and Lemmas 3-6). Namely, it is shown that if the dual space \(X^{\ast}
Shang, Shaoqiang +2 more
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Let \(\Phi\) and \(\Psi\) be a Musielak-Orlicz function and its complementary function in the sense of Young, respectively. The main result of this paper concerns weak uniform rotundity in Musielak-Orlicz function spaces of Bochner type equipped with the Luxemburg norm (see Theorem 2 and Lemmas 3-6). Namely, it is shown that if the dual space \(X^{\ast}
Shang, Shaoqiang +2 more
openaire +2 more sources
On the comparison of the Lorentz and Luxemburg norms of the Lp log L space
Analysis Mathematica, 2021The paper shows a clear relationship between the \(L^p\log L[0,1]\) space \((1\leqslant p
Mező, I., Lu, J.-Y.
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Erratum to the paper “Smooth Points of Orlicz Spaces Equipped with Luxemburg Norm”
Mathematische Nachrichten, 1994Minor corrections to the paper cited in the title [ibid. 155, 31-45 (1992; Zbl 0795.46016)].
Grząślewicz, R., Hudzik, H.
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I-convexity and Q-convexity of Orlicz-Bochner function spaces with the Luxemburg norm
, 2020Dong Xiaoli, Gong Wan-zhong
semanticscholar +1 more source
Hardy's inequality for orlicz-luxemburg norms
Acta Mathematica Hungarica, 1990openaire +1 more source
Tensor Robust Principal Component Analysis with a New Tensor Nuclear Norm
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2020Canyi Lu, Jiashi Feng, Yudong Chen
exaly
The PseudoDojo: Training and grading a 85 element optimized norm-conserving pseudopotential table
Computer Physics Communications, 2018Michiel Jan van Setten +2 more
exaly