Results 1 to 10 of about 221 (175)
Sankhya 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 Jon A
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Orlicz–Lorentz function spaces equipped with the Orlicz norm
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 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, Foralewski Paweł
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The Bernstein–Orlicz norm and deviation inequalities [PDF]
Probability Theory and Related Fields, 2012 We introduce two new concepts designed for the study of empirical processes. First, we introduce a new Orlicz norm which we call the Bernstein-Orlicz norm. This new norm interpolates sub-Gaussian and sub-exponential tail behavior. In particular, we show how this norm can be used to simplify the derivation of deviation inequalities for suprema of ...
Sara Van De Geer +2 more
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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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Boundedness characterization of composite operator with Orlicz–Lipschitz norm and Orlicz-BMO norm
Annals of Functional Analysis, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuming Xing
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Monotonicities of Quasi-Normed Orlicz Spaces
AxiomsIn 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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