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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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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Weighted composition operators on the logarithmic Bloch-Orlicz space. [PDF]
PLoS ONEThe boundedness and compactness of weighted composition operators on the logarithmic Bloch-Orlicz space [Formula: see text] are investigated in this paper.
Hang Zhou
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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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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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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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Examples of weakly compact sets in Orlicz spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper provides a number of examples of relatively weakly compact sets in Orlicz spaces. We show some results arising from these examples.
D. Dauitbek +2 more
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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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On fractional Orlicz–Sobolev spaces [PDF]
Analysis and Mathematical Physics, 2021 AbstractSome recent results on the theory of fractional Orlicz–Sobolev spaces are surveyed. They concern Sobolev type embeddings for these spaces with an optimal Orlicz target, related Hardy type inequalities, and criteria for compact embeddings.
Angela Alberico +3 more
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