Results 41 to 50 of about 400,575 (187)

Comparison of Orlicz-Lorentz spaces [PDF]

Studia Mathematica, 1992
Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Masty o, Maligranda, and Kami ska. In this paper, we consider the problem of comparing the Orlicz-Lorentz norms, and establish necessary and sufficient conditions for them to be equivalent.
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Kadec-Klee Property in Orlicz Function Spaces Equipped with S-Norms

Journal of Function Spaces, 2022
Using some new techniques, the necessary and sufficient conditions for Kadec-Klee property of Orlicz function spaces equipped with s-norms are presented.
Jiaqi Dong, Yunan Cui, Marek Wisła
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Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

Axioms
Lower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
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Strongly nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces

Boletim da Sociedade Paranaense de Matemática, 2015
We prove in this paper the existence of solutions of strongly nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces. An approximation and a compactness results in inhomogeneous Musielak-Orlicz-Sobolev spaces have also been provided.
Mohamed Leimne Ahmed Oubeid, A. Benkirane, M. Sidi El Vally   +2 more
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Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data

Moroccan Journal of Pure and Applied Analysis, 2022
This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of ...
Ajagjal Sana
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Approximative Compactness in Orlicz Spaces

Journal of Approximation Theory, 1998
AbstractSome criteria for approximative compactness of Orlicz function and sequence spaces for both (the Luxemburg and the Orlicz) norms are presented.
Henryk Hudzik, Baoxiang Wang
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Non-squareness and local uniform non-squareness properties of Orlicz-Lorentz function spaces endowed with the Orlicz norm [PDF]

arXiv, 2020
In this paper the necessary and sufficient conditions were given for Orlicz-Lorentz function space endowed with the Orlicz norm having non-squareness and local uniform non-squareness.
arxiv  

Characterizations for the genuine Calderón-Zygmund operators and commutators on generalized Orlicz-Morrey spaces

Advances in Nonlinear Analysis, 2023
In this article, we show continuity of commutators of Calderón-Zygmund operators [b,T]\left[b,T] with BMO functions in generalized Orlicz-Morrey spaces MΦ,φ(Rn){M}^{\Phi ,\varphi }\left({{\mathbb{R}}}^{n}). We give necessary and sufficient conditions for
Guliyev V. S., Omarova Meriban N., Ragusa Maria Alessandra   +2 more
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Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]

Mathematische Nachrichten, 2013
In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Charles Casimiro Cavalcante, Rui F. Vigelis   +1 more
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The exact values of nonsquare constants for a class of Orlicz spaces [PDF]

Opuscula Mathematica, 2005
We extend the \(M_{\triangle}\)-condition from [Han J.,Li X.: On Exact Value of Packing for a Class of Orlicz Spaces. (Chinese), Journal of Tongji Univ. 30 (2002) 7, 895–899] and introduce the \(\Phi_{\triangle}\)-condition at zero.
Jincai Wang
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