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Central Limit Theorems and Uniform Laws of Large Numbers for Arrays of Random Fields. [PDF]
Jenish N, Prucha IR.
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ON A "MONOTONICITY" METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES. [PDF]
Minty GJ.
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Orlicz-Lorentz Sequence Spaces Equipped with the Orlicz Norm
Acta Mathematica Scientia, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui, Yunan +2 more
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WM PROPERTY OF ORLICZ SPACES WITH ORLICZ NORM
Acta Mathematica Scientia, 1994Summary: It is shown that an Orlicz space \(L_ M\) with Orlicz norm has WM property iff it is reflexive and the right derivative of its generating function \(M\) is continuous at both extreme points of any interval on which \(M\) is affine.
Chen, Shutao, Duan, Yanzheng
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Canadian Mathematical Bulletin, 1991
AbstractEquivalent norms with best order of Frechet and uniformly Frechet differentiability in Orlicz spaces are constructed. Classes of Orlicz which admit infinitely many times Frechet differentiable equivalent norm are found.
Maleev, R. P., Troyanski, S. L.
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AbstractEquivalent norms with best order of Frechet and uniformly Frechet differentiability in Orlicz spaces are constructed. Classes of Orlicz which admit infinitely many times Frechet differentiable equivalent norm are found.
Maleev, R. P., Troyanski, S. L.
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Uniformly convex in Orlicz space equipped with the Mazur-Orlicz F-Norm
Positivity, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tongyu Wang, Yunan Cui
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Amemiya Norm Equals Orlicz Norm in Musielak–Orlicz Spaces
Acta Mathematica Sinica, English Series, 2006Let \(L^\Phi(\Omega)\) be a Musielak--Orlicz space over a \(\sigma\)-finite measure space \((\Omega, \mu)\), that is, \(L^\Phi(\Omega) = \{\mu \text{-measurable functions } u:\int_\Omega\Phi(|u(x)|/\lambda, x) \,d\mu 0\), where \(\Phi\) is a Musielak--Orlicz function defined as follows: \(\Phi:\Omega\times [0,\infty) \rightarrow [0,\infty)\) and for ...
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Strongly Extreme Points in Musielak–Orlicz Spaces with the Orlicz Norm
Zeitschrift für Analysis und ihre Anwendungen, 2009In this paper, criteria of strongly extreme points in Musielak–Orlicz spaces endowed with the Orlicz norm are given.
Wang, Ping, Yu, Feifei, Cui, Yunan
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On mixed norm Bergman–Orlicz–Morrey spaces
Georgian Mathematical Journal, 2018Abstract Following the ideas of our previous research, in this paper we continue the study of new Bergman-type spaces on the unit disc with mixed norm in terms of Fourier coefficients. Here we deal with the case where the sequence of norms of Fourier coefficients in the Orlicz–Morrey space in radial variable belongs to
Karapetyants, Alexey N. +1 more
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