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Smooth functions in Orlicz function spaces [PDF]

Archiv der Mathematik, 1997
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Gonzalo, Raquel, Maleev, Rumen P.
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Hypercyclicity of Composition Operators on Orlicz Function Spaces

Moroccan Journal of Pure and Applied Analysis, 2020
In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are
Jafari F., Kamali Z.
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Matuszewska–Orlicz indices of the Sobolev conjugate Young function

Partial Differential Equations in Applied Mathematics, 2021
In this note we study the Matuszewska–Orlicz indices of Young and φ-functions and their conjugates. It is known, for example, that the index at zero of the inverse of a φ-function corresponds to the reciprocal of the index at infinity of the φ-function ...
Waldo Arriagada
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The Strongly Extreme Points in the Musielak-Orlicz  Space Endowed With p-Amemiya Norm

Journal of Harbin University of Science and Technology, 2018
In order to study some geometric properties of MusielakOrlicz space endowed with pAmemiya norm, we discuss the necessary and sufficient conditions for the strongly extreme points in the MusielakOrlicz function space endowed with pAmemiya norm ...
JIA Jing, WANG Jun-ming
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An inequality in Orlicz function spaces with Orlicz norm [PDF]

, 2003
summary:We use Simonenko quantitative indices of an $\Cal N$-function $\Phi$ to estimate two parameters $q_\Phi$ and $Q_\Phi$ in Orlicz function spaces $L^\Phi[0,\infty)$ with Orlicz norm, and get the following inequality: $\frac{B_\Phi}{B_\Phi-1}\leq q_\
Wang, Jincai
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K-uniform convexity in Orlicz-Lorentz function space equipped with the Orlicz norm

Indian Journal of Pure and Applied Mathematics, 2022
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Di Wang, Yunan Cui
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S*-ORLICZ LATTICE

Journal of Kufa for Mathematics and Computer, 2010
In this paper, we review here some of the ideas we have encountered in Orlicz function and define S*- Orlicz lattice. We have proved that S*-Orlicz space (X, ||.||F) is a normed S*-Vector Lattice, complete and therefore, it's a Banach S*-Vector Lattice.
Falah Hasan Sarhan, Ali Hussain Battor Battor   +1 more
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The Banach-Saks Properties in Orlicz-Lorentz Spaces

Abstract and Applied Analysis, 2014
The Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks)
Anna Kamińska, Han Ju Lee
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Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm

Journal of Function Spaces, 2019
As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
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M-constants in Orlicz Spaces Equipped with the Luxemburg Norm

Journal of Harbin University of Science and Technology, 2022
Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
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