Results 1 to 10 of about 7,227 (175)
Nonsquareness in Musielak-Orlicz-Bochner Function Spaces [PDF]
Abstract and Applied Analysis, 2011 The criteria for nonsquareness in the classical Orlicz function spaces have been given already. However, because of the complication of Musielak-Orlicz-Bochner function spaces, at present the criteria for nonsquareness have not been discussed yet. In the
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
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Seminormed double sequence spaces of four-dimensional matrix and Musielak–Orlicz function [PDF]
Journal of Inequalities and Applications, 2018 In this paper we study seminormed double sequence spaces of a four-dimensional matrix and Musielak–Orlicz function over n-normed spaces. We explore some interesting inclusion relations, algebraic and topological properties of these spaces.
Renu Anand, Charu Sharma, Kuldip Raj
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Hypercyclicity of Composition Operators on Orlicz Function Spaces [PDF]
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are
Jafari F., Kamali Z.
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Maximal function on Musielak–Orlicz spaces and generalized Lebesgue spaces
Bulletin Des Sciences Mathematiques, 2005 It is proved that the uniform boundedness of averaging operators corresponding to families of disjoint cubes is equivalent to the boundedness of the Hardy--Littlewood maximal operator \(M\) on generalized Lebesgue space \(L^{p(\cdot)}(\mathbb R^d)\) with \(1< \operatorname{ess}\inf p\leq \operatorname{ess}\sup p< \infty\).
Lars Diening
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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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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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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 ...
Luong Dang Ky
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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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Orlicz–Lorentz function spaces equipped with the Orlicz norm
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 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, Joanna Kończak
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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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