Results 11 to 20 of about 7,160,171 (246)

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
doaj   +5 more sources

Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]

Mathematische Nachrichten, 2014
In this paper, we present a characterization of support functionals and smooth points in L0Φ , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of L0Φ is also obtained.
Rui F. Vigelis, C. Cavalcante
semanticscholar   +4 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
We 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.
P. Foralewski, Joanna Kończak
semanticscholar   +2 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   +2 more sources

Inclusion Properties of Henstock-Orlicz Spaces [PDF]

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
doaj   +3 more sources

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
doaj   +2 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

On small Lebesgue spaces

Journal of Function Spaces and Applications, 2005
We consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss ...
Claudia Capone, Alberto Fiorenza
doaj   +4 more sources

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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Universal classes of Orlicz function spaces. [PDF]

Pacific Journal of Mathematics, 1992
It is proved that for each ...
F. L. Hernández, C. Ruiz
semanticscholar   +4 more sources