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-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces [PDF]
Journal of Inequalities and Applications, 2018 We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator.
Charu Sharma +3 more
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On the dual of Orlicz–Lorentz space [PDF]
Proceedings of the American Mathematical Society, 2002 A description of the Köthe dual of the Orlicz–Lorentz space Λ
Hudzik, H., Kaminska, A., Mastylo, M.
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Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces [PDF]
Journal of Inequalities and Applications, 2017 Let φ : R n × [ 0 , ∞ ) → [ 0 , ∞ ) $\varphi:\mathbb{R}^{n}\times[0, \infty) \to[0, \infty)$ satisfy that φ ( x , ⋅ ) $\varphi(x, \cdot)$ , for any given x ∈ R n $x\in\mathbb{R}^{n}$ , is an Orlicz function and φ ( ⋅ , t ) $\varphi(\cdot, t)$ is a ...
Bo Li, Minfeng Liao, Baode Li
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Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes [PDF]
Journal of Function Spaces, 2018 Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
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The Orlicz space of entire sequences [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 Let Γ denote the space of all entire sequences and ∧ the space of all analytic sequences. This paper is devoted to the study of the general properties of Orlicz space ΓM of Γ.
K. Chandrasekhara Rao, N. Subramanian
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On Orlicz Difference Sequence Spaces [PDF]
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2010 : The main aim of this article is to generalize the famous Orlicz sequence space by using difference operators and a sequence of non-zero scalars and investigate some topological structure relevant to this generalized space.
Hemen Dutta
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Anisotropic Hardy Spaces of Musielak-Orlicz Type with Applications to Boundedness of Sublinear Operators [PDF]
The Scientific World Journal, 2014 Let φ:ℝn×[0,∞)→[0,∞) be a Musielak-Orlicz function and A an expansive dilation. In this paper, the authors introduce the anisotropic Hardy space of Musielak-Orlicz type, HAφ(ℝn), via the grand maximal function.
Baode Li, Dachun Yang, Wen Yuan
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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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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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