Results 21 to 30 of about 315,893 (200)
A Note on the Limit of Orlicz Norms
Real Analysis Exchange, 2023 We generalize the well-known inequality that the limit of the $L^p$ norm of a function as $p\rightarrow\infty$ is the $L^\infty$ norm to the scale of Orlicz spaces.
Cruz-Uribe, David, Scott, Rodney
openaire +2 more sources
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
Tractability properties of the discrepancy in Orlicz norms [PDF]
Journal of Complexity, 2020 We show that the minimal discrepancy of a point set in the $d$-dimensional unit cube with respect to Orlicz norms can exhibit both polynomial and weak tractability. In particular, we show that the $ψ_α$-norms of exponential Orlicz spaces are polynomially tractable.
Josef Dick +3 more
openaire +4 more sources
POISSON-ORLICZ NORM AND INFINITE ERGODIC THEORY
, 2023 Urbanik’s theorem for a Poisson process on an infinite measure space (X, A, μ) relates integrability of stochastic integrals to a particular Orlicz function space LΦ (μ) on which the L1-norm of the Poisson process induces a norm (called Poisson-Orlicz in
Roy, Emmanuel
core +3 more sources
Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm [PDF]
, 2021 summary:We investigate which points in the unit sphere of the Besicovitch--Orlicz space of almost periodic functions, equipped with the Luxemburg norm, are extreme points.
Boulahia, Fatiha, Hassaine, Slimane
core +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
Monotonicity of Orlicz Function Space-equipped with S-norm
Journal of Harbin University of Science and Technology, 2021 Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
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
doaj +1 more source
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 MusielakOrlicz space endowed with pAmemiya norm, we discuss the necessary and sufficient conditions for the strongly extreme points in the MusielakOrlicz function space endowed with pAmemiya norm ...
JIA Jing, WANG Jun-ming
doaj +1 more source
An inequality in Orlicz function spaces with Orlicz norm [PDF]
, 2003 summary:We use Simonenko quantitative indices of an $\Cal N$-function $\Phi$ to estimate two parameters $q_\Phi$ and $Q_\Phi$ in Orlicz function spaces $L^\Phi[0,\infty)$ with Orlicz norm, and get the following inequality: $\frac{B_\Phi}{B_\Phi-1}\leq q_\
Wang, Jincai
core +1 more source