Results 1 to 10 of about 6,726 (126)

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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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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β Property in Orlicz Sequence Spaces Equipped with s-norm

Journal of Harbin University of Science and Technology, 2022
Orlicz spaces equipped with s-norm is an extension of Orlicz spaces. In order to studing the H property and the property β in Orlicz space equipped with s-norm，some basic properties of the s-norm are discussed firstly.
CUI Yun-an, DONG Jia-qi
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Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

Axioms, 2023
In this paper, the necessary and sufficient conditions for the upper strict monotonicity point and the upper local uniform monotonicity point are given in the case of Musielak–Orlicz spaces equipped with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
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Inclusion Properties of Henstock-Orlicz Spaces

JTAM (Jurnal Teori dan Aplikasi Matematika), 2022
Henstock-Orlicz spaces were generally introduced by Hazarika and Kalita in 2021. In general, a function is Lebesgue integral if only if that function and its modulus are Henstock-Kurzweil integrable functions.
Elin Herlinawati
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Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm

Journal of Inequalities and Applications, 2020
In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given.
Lili An, Yunan Cui
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Monotonicity of Orlicz Function Space-equipped with S-norm

Journal of Harbin University of Science and Technology, 2021
Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
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