Results 41 to 50 of about 4,926,903 (245)
The Daugavet property in the Musielak-Orlicz spaces
We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
core +1 more source
The Orlicz spaces XΦ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X ...
R. del Campo+3 more
semanticscholar +1 more source
Orlicz spaces which are AM-spaces [PDF]
The Orlicz function and sequence spaces which are AM-spaces are characterized for both the Luxemburg-Nakano and the Amemiya (Orlicz) norm.
Finol, C. E.+2 more
openaire +3 more sources
Composition of Operators in Orlicz Spaces
In this work we find sharp conditions for boundedness on Orlicz spaces of the composition of $j$ operators, each one being of restricted weak type $(p,p)$ for some $p>1$, and of strong type $(\infty,\infty)$. Particularly, we find necessary and sufficient conditions to obtain modular inequalities for the $j$-times composition of the Cesaro Maximal ...
Bongioanni, B., Harboure, E.
openaire +3 more sources
Extrapolation and interpolation in generalized Orlicz spaces
We prove versions of the Rubio de Francia extrapolation theorem in generalized Orlicz spaces. As a consequence, we obtain boundedness results for several classical operators as well as a Sobolev inequality in this setting.
D. Cruz-Uribe, P. Hästö
semanticscholar +1 more source
AbstractRotund Orlicz spaces and Orlicz spaces that contain isomorphic copies of l∘ and co are characterized in the class of Orlicz spaces over measure spaces that are not purely atomic.
openaire +2 more sources
SIFAT INKLUSI DAN PERUMUMAN KETAKSAMAAN HÖLDER PADA RUANG BARISAN ORLICZ [PDF]
Ruang Orlicz adalah perumuman dari ruang Lebesgue yang dikenalkan oleh Z. W. Birnbaum dan W. Orlicz pada tahun 1931. Terdapat dua versi ruang Orlicz, yaitu ruang Orlicz kontinu dan ruang barisan Orlicz.
Pradipta Swiantana Prayoga, -
core
Notes on bilinear multipliers on Orlicz spaces [PDF]
Let Φ1,Φ2 and Φ3 be Young functions and let LΦ1(R) , LΦ2(R) and LΦ3(R) be the corresponding Orlicz spaces. We say that a function m(ξ,η) defined on R×R is a bilinear multiplier of type (Φ1,Φ2,Φ3) if Bm(f,g)(x)=∫R∫Rf̂(ξ)ĝ(η)m(ξ,η)e2πi(ξ+η)xdξdηdefines a ...
Ó. Blasco, Alen Osançlıol
semanticscholar +1 more source
Comparison of Orlicz-Lorentz spaces [PDF]
Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Masty o, Maligranda, and Kami ska. In this paper, we consider the problem of comparing the Orlicz-Lorentz norms, and establish necessary and sufficient conditions for them to be equivalent.
openaire +3 more sources
In the present paper, we will characterize the boundedness of the generalized fractional integral operators $I_{\rho}$ and the generalized fractional maximal operators $M_{\rho}$ on Orlicz spaces, respectively.
Deringoz, Fatih+4 more
core +1 more source