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Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm

open access: yesJournal 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
doaj   +2 more sources

Some characterizations of disjoint topological transitivity on Orlicz spaces. [PDF]

open access: yesJ Inequal Appl, 2018
In this paper, we study the disjointness of topological transitivity on Orlicz spaces endowed with the Orlicz norm. We first give the characterization for weighted translations to be topologically transitive.
Chen CC, Du WS.
europepmc   +2 more sources

Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces [PDF]

open access: yesJournal 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
doaj   +2 more sources

Fractional integration in Orlicz spaces [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1976
Fractional integration and convolution results are given for Orlicz spaces using an inequality earlier developed for Λ α ( X ) {\Lambda _\alpha }(X) spaces which generalize Lorentz L ( p , q ) L(p,q ...
Robert Sharpley
openalex   +3 more sources

Groups of isometries on Orlicz spaces [PDF]

open access: bronzePacific Journal of Mathematics, 1973
1* Introduction* Let X be a real or complex Orlicz space of functions on an atomic measure space; an additional (not very restrictive) condition will be imposed on X which implies in particular that X Φ L°°. If X is a Hubert space, there are numerous strongly continuous one parameter groups of isometries on X, according to a classical theorem of M.
Jerome A. Goldstein
openalex   +3 more sources

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

open access: yesAdvances 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.   +2 more
doaj   +2 more sources

Capacities in Generalized Orlicz Spaces [PDF]

open access: yesJournal of Function Spaces, 2018
In this paper basic properties of both Sobolev and relative capacities are studied in generalized Orlicz spaces. The capacities are compared with each other and the Hausdorff measure.
D. Baruah   +2 more
semanticscholar   +5 more sources

Inclusion Properties of Orlicz and Weak Orlicz Spaces

open access: yesJournal of Mathematical and Fundamental Sciences, 2016
This paper discusses the structure of Orlicz spaces and weak Orlicz spaces on ℝn. We obtain some necessary and sufficient conditions for the inclusion property of these spaces.
Al Azhary Masta   +2 more
doaj   +5 more sources

Isometries of Orlicz spaces [PDF]

open access: goldBulletin of the American Mathematical Society, 1962
G. Lumer
openalex   +4 more sources

Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces [PDF]

open access: yesThe Scientific World Journal, 2014
The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced.
N. Hussain, P. Salimi
doaj   +2 more sources

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