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A REMARK ON MAZUR-ORLICZ'S NORM

open access: yesA REMARK ON MAZUR-ORLICZ'S NORM
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Orlicz-Lorentz Sequence Spaces Equipped with the Orlicz Norm

Acta Mathematica Scientia, 2022
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Cui, Yunan   +2 more
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Amemiya Norm Equals Orlicz Norm in Musielak–Orlicz Spaces

Acta Mathematica Sinica, English Series, 2006
Let \(L^\Phi(\Omega)\) 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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On mixed norm Bergman–Orlicz–Morrey spaces

Georgian Mathematical Journal, 2018
Abstract 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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Monotonicity in orlicz-lorentz sequence spaces equipped with the orlicz norm

Acta Mathematica Scientia, 2016
Abstract In Orlicz-Lorentz sequence space λ°ϕ, w with the Orlicz norm, uniform monotonic ity, points of upper local uniform monotonicity and lower local uniform monotonicity are characterized. Moreover, the monotonicity coefficient in λ°ϕ, w are discussed.
Wanzhong GONG, Daoxiang ZHANG
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WM PROPERTY OF ORLICZ SPACES WITH ORLICZ NORM

Acta Mathematica Scientia, 1994
Summary: 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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Smooth Norms in Orlicz Spaces

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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Uniformly convex in Orlicz space equipped with the Mazur-Orlicz F-Norm

Positivity, 2022
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Tongyu Wang, Yunan Cui
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