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The Bennett-Orlicz Norm. [PDF]

Sankhya Ser A, 2017
Lederer and van de Geer (2013) introduced a new Orlicz norm, the Bernstein-Orlicz norm, which is connected to Bernstein type inequalities. Here we introduce another Orlicz norm, the Bennett-Orlicz norm, which is connected to Bennett type inequalities.
Wellner JA.
europepmc   +5 more sources

Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm [PDF]

Journal of Function Spaces, 2020
Some basic properties in Orlicz spaces and Orlicz sequence spaces that are generated by monotone function equipped with the Mazur-Orlicz F-norm are studied in this paper. We give some relationships between the modulus and the Mazur-Orlicz F-norm.
Xinran Bai, Yunan Cui, Joanna Kończak
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Some characterizations of disjoint topological transitivity on Orlicz spaces [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we study the disjointness of topological transitivity on Orlicz spaces endowed with the Orlicz norm. We first give the characterization for weighted translations to be topologically transitive.
Chung-Chuan Chen, Wei-Shih Du
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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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Monotonicities of Quasi-Normed Orlicz Spaces

Axioms
In this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped with a Luxemburg quasi-norm contain both classical spaces Lp(p≥1) and Lp ...
Dong Ji, Yunan Cui
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The Best Constant of Norm Equivalence in Orlicz Space

Journal of Harbin University of Science and Technology, 2023
The Orlicz norm is equivalent to the Luxemburg norm. In 2011 , BANG H H, HOANG N V, HUY V N have obtained the best equivalent constant between the Orlicz norm and the Luxemburg norm in Orlicz space which generated by N-functions.
YANG Yabo, CUI Yunan
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On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm

Journal of Harbin University of Science and Technology, 2022
This paper mainly studies the convex coefficients of the Musielak-Orlicz sequence space equipped the Orlicz norm. Due to the complexity of the Musielak-Orlicz sequence space with Orlicz norm and the cumbersome calculation, no one has yet given the ...
CUI Yun-an, GUO Tian-bao
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An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm

Journal of Harbin University of Science and Technology, 2021
In Orlicz space，the formula of computation of a new norm that we call Φ-Amemiya norm is given． In this paper，we disscuss the conditions of norm attainability of the Orlicz space equipped with Φ-Amemiya norm， and the criterion of an extreme point is ...
CUI Yun-an, AN Li-li
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Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm [PDF]

Opuscula Mathematica, 2021
In the present paper, we give criteria for the existence of extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm.
Fatiha Boulahia, Slimane Hassaine
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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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