Transfer of Fourier multipliers into Schur multipliers and sumsets in a discrete group [PDF]
, 2010 We inspect the relationship between relative Fourier multipliers on noncommutative Lebesgue-Orlicz spaces of a discrete group and relative Toeplitz-Schur multipliers on Schatten-von-Neumann-Orlicz classes.
Neuwirth, Stefan, Ricard, Éric
core +5 more sources
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
Some new properties of composition operators associated with lens maps [PDF]
, 2012 We give examples of results on composition operators connected with lens maps. The first two concern the approximation numbers of those operators acting on the usual Hardy space $H^2$.
Lefèvre, Pascal +3 more
core +4 more sources
Analytic norms in Orlicz spaces [PDF]
Proceedings of the American Mathematical Society, 2000 The authors prove that an Orlicz sequence space \(h_M\) admits an equivalent analytic norm if and only if \(h_M \backsimeq \ell _{2n},\) for some \( n\in \mathbb N,\) or \(h_M\) is isomorphically polyhedral. In particular, if \(\lim _{t\to 0} M(2t)/M(t) =\infty\) then \(h_M\) admits an equivalent analytic norm.
Hájek, P., Troyanski, S.
openaire +2 more sources
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
Boundedness characterization of composite operator with Orlicz–Lipschitz norm and Orlicz-BMO norm
Annals of Functional Analysis, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Niu, Jinling, Li, Xuexin, Xing, Yuming
openaire +3 more sources
On the Riesz potential and its commutators on generalized Orlicz-Morrey spaces [PDF]
, 2013 We consider generalized Orlicz-Morrey spaces $M_{\Phi,\varphi}(\Rn)$ including their weak versions $WM_{\Phi,\varphi}(\Rn)$. In these spaces we prove the boundedness of the Riesz potential from $M_{\Phi,\varphi_1}(\Rn)$ to $M_{\Psi,\varphi_2}(\Rn)$ and ...
Deringoz, Fatih, Guliyev, Vagif S.
core +3 more sources
On the (k-β) Points of Musielak-Orlicz Sequence Spaces Equipped with the Orlicz Norm
Journal of Harbin University of Science and Technology, 2019 MusielakOrlicz spaces is the generalization of classical Orlicz spaces In this paper, we investigated the problem of characterization of the (kβ) points in Musielak Orlicz sequence spaces equipped with the Orlicz norm Firstly, the definition of (kβ ...
ZUO Ming-xia, LIU Hong-jiao
doaj +1 more source
Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm
Journal of Harbin University of Science and Technology, 2021 As we known, H property is a imp01tant property in theory of Banach spaces. It closly connects with the approximation compactness and fixed point prope1ty of nonexpansive mapping. ln this paper, we give necessai-y and sufficient conditions for a point in
ZHAO Li, CUI Yun-an
doaj +1 more source
Uniformly Nonsquare in Orlicz Space Equipped with the Mazur-Orlicz F-Norm
Journal of Function Spaces, 2021 The definition of uniformly nonsquareness in Banach spaces is extended to F-normed spaces. Most of the results from this paper concern (uniformly) nonsquareness in the sense of James or in the sense of Schäffer in Orlicz spaces equipped with the Mazur ...
Yunan Cui, Tongyu Wang
doaj +1 more source