Results 11 to 20 of about 706,285 (207)
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
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 +3 more sources
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
Strongly Extreme Points in Orlicz Function Spaces
Journal of Mathematical Analysis and Applications, 1995 For any Orlicz function \(\Phi\) and any \(\sigma\)-finite atomless measure \(\mu\), the authors give a criterion for \(x\) from the unit sphere of the Orlicz space \(L^ \Phi(\mu)\), equipped with the Luxemburg norm, to be strongly extreme. Further, they characterize Orlicz spaces \(L^ \Phi(\mu)\) which are isometric to \(L^ \infty(\mu)\).
H. Hudzik, W. Kurc, M. Wisła
semanticscholar +3 more sources
Smoothness of Orlicz function spaces equipped with the p-Amemiya norm
Banach Journal of Mathematical Analysis, 2021 In this paper, we will use the convex modular ρ∗(f)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}
Xiao-Yan Li, Yunan Cui, M. Wisła
semanticscholar +1 more source
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
doaj +1 more source
An inequality for functions with derivatives in an Orlicz space [PDF]
Proceedings of the American Mathematical Society, 1964 function p(v) defined for v > 0, continuous from the right, satisfying conditions p(0) =0, p(v)-- oo (v-- coo) and such that M(u) =fiuIp(v) dv for all u. Writing q(u) =sup { v: p(v) 0 for which p(v) ? e. Moreover, the Young's inequality uv ? M(u) +N(v) holds for all u and v (see [1, ??1-2]).
Bojanic, R., Musielak, J.
openaire +1 more source
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 +1 more source
Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm
Journal of Inequalities and Applications, 2020 In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given.
Lili An, Yunan Cui
doaj +1 more source