Results 11 to 20 of about 6,795 (190)

Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm [PDF]

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
doaj   +3 more sources

The Bennett-Orlicz Norm. [PDF]

Sankhya Ser A, 2017
Lederer and van de Geer (2013) introduced a new Orlicz norm, the Bernstein-Orlicz norm, which is connected to Bernstein type inequalities. Here we introduce another Orlicz norm, the Bennett-Orlicz norm, which is connected to Bennett type inequalities.
Wellner JA.
europepmc   +5 more sources

Extreme Points and Rotundity in Musielak-Orlicz-Bochner Function Spaces Endowed with Orlicz Norm [PDF]

Abstract and Applied Analysis, 2010
The criteria for extreme point and rotundity of Musielak-Orlicz-Bochner function spaces equipped with Orlicz norm are given. Although criteria for extreme point of Musielak-Orlicz function spaces equipped with the Orlicz norm were known, we can easily ...
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
doaj   +3 more sources

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
doaj   +2 more sources

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
openaire   +1 more source

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.
Vigelis, Rui F., Cavalcante, Charles C.
openaire   +2 more sources

Geometric properties of F-normed Orlicz spaces [PDF]

Aequationes mathematicae, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui, Yunan, Hudzik, Henryk, Kaczmarek, Radosław, Kolwicz, Paweł   +3 more
openaire   +4 more sources

Transfer of Fourier multipliers into Schur multipliers and sumsets in a discrete group [PDF]

, 2010
We inspect the relationship between relative Fourier multipliers on noncommutative Lebesgue-Orlicz spaces of a discrete group and relative Toeplitz-Schur multipliers on Schatten-von-Neumann-Orlicz classes.
Neuwirth, Stefan, Ricard, Éric
core   +5 more sources

The Strongly Extreme Points in the Musielak-Orlicz  Space Endowed With p-Amemiya Norm

Journal of Harbin University of Science and Technology, 2018
In order to study some geometric properties of MusielakOrlicz space endowed with pAmemiya norm, we discuss the necessary and sufficient conditions for the strongly extreme points in the MusielakOrlicz function space endowed with pAmemiya norm ...
JIA Jing, WANG Jun-ming
doaj   +1 more source

β Property in MusielakOrlicz Sequence Spaces Equipped with the Orlicz Norm

Journal of Harbin University of Science and Technology, 2020
MusielakOrlicz spaces is a generalization of classical Orlicz spaces．In this paper, the characterization for the β property of MusielakOrlicz sequence spaces equipped with the Orlicz norm was investigated．A criteria for β points in MusielakOrlicz ...
ZUO Mingxia, LIU Hongjiao
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