Results 11 to 20 of about 1,556 (219)

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   +2 more sources

Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces [PDF]

Colloquium Mathematicum, 2015
We define Beurling–Orlicz spaces, weak Beurling–Orlicz spaces, Herz–Orlicz spaces, weak Herz–Orlicz spaces, central Morrey–Orlicz spaces and weak central Morrey–Orlicz spaces.
Maligranda, Lech, Matsuoka, Katsuo
openaire   +4 more sources

S*-ORLICZ LATTICE [PDF]

Journal of Kufa for Mathematics and Computer, 2010
In this paper, we review here some of the ideas we have encountered in Orlicz function and define S*- Orlicz lattice. We have proved that S*-Orlicz space (X, ||.||F) is a normed S*-Vector Lattice, complete and therefore, it's a Banach S*-Vector Lattice.
Falah Hasan Sarhan, Ali Hussain Battor Battor   +1 more
doaj   +2 more sources

Strongly Extreme Points in Orlicz Function Spaces [PDF]

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 \(L^ \infty(\mu)\).
Hudzik, H., Kurc, W., Wisla, M.
openaire   +3 more sources

Monotonicities of Quasi-Normed Orlicz Spaces [PDF]

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 \(\lambda\)-WEAK CONVERGENCE OF SEQUENCES DEFINED BY AN ORLICZ FUNCTION [PDF]

Ural Mathematical Journal
In this article, we introduce and rigorously analyze the concept of difference \(\lambda\)-weak convergence for sequences defined by an Orlicz function.
Ömer Kişi, Mehmet Gürdal
doaj   +2 more sources

EXTENSION OF SUBMULTIPLICATIVITY AND SUPERMULTIPLICATIVITY OF ORLICZ FUNCTIONS [PDF]

Real Analysis Exchange, 1998
The authors consider an Orlicz function \(\varphi \), submultiplicative (supermultiplicative) at infinity, and they prove that a necessary and sufficient condition for the existence of Orlicz functions \(\psi \), equivalent to \(\varphi \) at infinity and submultiplicative (supermultiplicative) on the whole of \(\mathbb R^n\), is the \(\Delta _2 ...
Hudzik, H., Mastylo, M., Maligranda, L., Persson, L. E.   +3 more
openaire   +4 more sources

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

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

Compact Operators Under Orlicz Function

Indian Journal of Pure and Applied Mathematics, 2020
14pages
Ma, Zhenhua, Kui, Ji, Li, Yucheng
openaire   +3 more sources