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Noncreasy and uniformly noncreasy Orlicz function spaces
Journal of Mathematical Analysis and Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bor-Luh Lin, Zhongrui Shi
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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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New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators
Integral Equations and Operator Theory, 2013 We introduce a new class of Hardy spaces $H^{\varphi(\cdot,\cdot)}(\mathbb R^n)$, called Hardy spaces of Musielak-Orlicz type, which generalize the Hardy-Orlicz spaces of Janson and the weighted Hardy spaces of Garc\'ia-Cuerva, Str\"omberg, and ...
Ky, Luong Dang
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Spaces of Ideal Convergent Sequences [PDF]
The Scientific World Journal, 2014 In the present paper, we introduce some sequence spaces using ideal convergence and Musielak-Orlicz function ℳ=Mk. We also examine some topological properties of the resulting sequence spaces.
M. Mursaleen, Sunil K. Sharma
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Sequence Spaces Defined by Musielak-Orlicz Function over -Normed Spaces
Abstract and Applied Analysis, 2013 In the present paper we introduce some sequence spaces over n-normed spaces defined by a Musielak-Orlicz function . We also study some topological properties and prove some inclusion relations between these spaces.
M. Mursaleen +2 more
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GENERALIZED ORLICZ SEQUENCE SPACES
Barekeng, 2023 Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces.
Cece Kustiawan +5 more
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Smoothness of Orlicz function spaces equipped with the p-Amemiya norm
Banach Journal of Mathematical Analysis, 2021 In this paper, we will use the convex modular ρ∗(f)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}
Xiaoyan Li, Yunan Cui, M. Wisła
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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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Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm
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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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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