Results 11 to 20 of about 7,369 (269)

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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Rotundity of Orlicz Spaces

Indagationes Mathematicae (Proceedings), 1976
AbstractRotund Orlicz spaces and Orlicz spaces that contain isomorphic copies of l∘ and co are characterized in the class of Orlicz spaces over measure spaces that are not purely atomic.
Turett, Barry
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Generalized Composition Operators on Zygmund-Orlicz Type Spaces and Bloch-Orlicz Type Spaces

Journal of Function Spaces, 2014
The boundedness and compactness of generalized composition operators on Zygmund-Orlicz type spaces and Bloch-Orlicz type spaces are established in this paper.
Congli Yang, Fangwei Chen, Pengcheng Wu
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Monotonicities of Quasi-Normed Orlicz Spaces

Axioms
In this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped with a Luxemburg quasi-norm contain both classical spaces Lp(p≥1) and Lp ...
Dong Ji, Yunan Cui
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Capacities in Generalized Orlicz Spaces [PDF]

, 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.
Debangana Baruah, Petteri Harjulehto, Peter Hästö   +2 more
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H‐Points and H‐Property of the Orlicz Spaces Endowed With the s ‐Norms

Mathematische Nachrichten, Volume 299, Issue 5, Page 1062-1084, May 2026.
ABSTRACT In this paper, we investigate the set of H‐points on the unit sphere of the Orlicz spaces over non‐atomic and purely atomic measure spaces. Building upon these arguments, we establish a criteria for the H‐property in Orlicz spaces. In addition, our results yield several consequences related to the geometric properties of the Orlicz spaces ...
Serap Öztop, Badik Hüseyin Uysal
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Flat Orlicz spaces [PDF]

Proceedings of the American Mathematical Society, 1981
A Banach space X is called flat if there exists a curve on the surface of the unit ball of X with antipodal endpoints and length two. Although one's initial (finite dimensional) reaction to this definition is to question the existence of such spaces, Harrell and Karlovitz ([1] and [2]) have shown that some of the classical Banach spaces are flat; in [2]
Pach, A. J., Smith, M. A., Turett, B.
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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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On the (k-β) Points of Musielak-Orlicz Sequence Spaces Equipped with the Orlicz Norm

Journal of Harbin University of Science and Technology, 2019
MusielakOrlicz spaces is the generalization of classical Orlicz spaces In this paper, we investigated the problem of characterization of the (kβ) points in Musielak Orlicz sequence spaces equipped with the Orlicz norm Firstly, the definition of (kβ ...
ZUO Ming-xia, LIU Hong-jiao
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Property ( k) of Orlicz Sequence Spaces

Journal of Harbin University of Science and Technology, 2017
Property ( k) is an important geometric property in Banach spaces，and it is closely associated with fixed point property． By the geometric theory of Banach spaces and Orlicz spaces， we investigated the characterization for property( k) in a special ...
ZUO Ming-xia, PENG Li-na
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