Results 41 to 50 of about 8,395 (175)

Weak amenability of weighted Orlicz algebras

open access: yes, 2017
Let G be a locally compact abelian group, $\omega:G\to (0,\infty)$ be a weight, and ($\Phi$,$\Psi$) be a complementary pair of strictly increasing continuous Young functions.
Samei, Ebrahim   +2 more
core   +1 more source

Bloch--Orlicz functions with Hadamard gaps [PDF]

open access: yesAnnals of Functional Analysis, 2015
In this paper, we give a sufficient and necessary condition for an analytic function $f(z)$ on the unit disc $\mathbb{D}$ with Hadamard gaps, that is, $f(z)=\sum\limits_{k=1}^{\infty}a_kz^{n_k}$, where $\frac{n_{k+1}}{n_k}\geq\lambda>1$ for all $k\in \mathbb{N}$, belongs to the Bloch--Orlicz space $ \mathcal{B}^{\varphi}$.
Yang, Congli   +2 more
openaire   +2 more sources

Coarse and uniform embeddings between Orlicz sequence spaces

open access: yes, 2013
We give an almost complete description of the coarse and uniform embeddability between Orlicz sequence spaces. We show that the embeddability between two Orlicz sequence spaces is in most cases determined only by the values of their upper Matuszewska ...
F Albiac   +11 more
core   +1 more source

Strongly Extreme Points in Orlicz Function Spaces

open access: yesJournal 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   +2 more sources

Multiplicativity Factors for Orlicz Space Function Norms

open access: yesJournal of Mathematical Analysis and Applications, 1993
Let \(\varphi\) be a Young function on \([0, \infty)\), \((T, \Omega, m)\) be a measure space, and \(L^ \varphi = L^ \varphi (T, \Omega, m)\) be an Orlicz space equipped with the Luxemburg norm \(\rho_ \varphi\) (so that \(L^ \infty \equiv L^ \varphi\) for \(\varphi (s) = \{{0, \atop \infty,} {s \in [0,1]; \atop s > 1.})\). Put \(m_{\inf} = \inf \{m(A)
Arens, Richard   +2 more
openaire   +3 more sources

On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence

open access: yesMathematical Modelling and Analysis, 2006
In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence.
A. Esi
doaj   +1 more source

SOME SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS

open access: yesDemonstratio Mathematica, 2000
A lacunary sequence \(\theta= (k_r)\), \(r= 0,1,2,\dots\) with \(k_0= 0\), \(k_r-k_{r-1}\to \infty\) is given. The intervals determined by \(\theta\) are \(I_r= (k_{r-1}, k_r]\). Let \(h_r= k_r-k_{r-1}\). Define \[ [N_\theta, M,p]= \Biggl\{(x_k): \lim_{r\to\infty} h^{-1}_r \sum_k\Biggl[M\Biggl({|x_k- \ell|\over\rho}\Biggr)\Biggr]^{p_k}= 0\text{ for ...
Bhardwaj, Vinod K., Singh, Niranjan
openaire   +1 more source

Noncreasy and uniformly noncreasy Orlicz function spaces

open access: yesJournal of Mathematical Analysis and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Bor-Luh, Shi, Zhongrui
openaire   +1 more source

Orlicz Function Spaces and Composition Operator [PDF]

open access: yes, 2013
In our dissertation we present here the salient features from the theory of Orlicz function spaces, LÖ(Ù), generated by the Young’s function Ö on an arbitrary ó−finite measurable spaces Ù.
Giri, Chinmay Kumar
core  

The exact values of nonsquare constants for a class of Orlicz spaces [PDF]

open access: yesOpuscula Mathematica, 2005
We extend the \(M_{\triangle}\)-condition from [Han J.,Li X.: On Exact Value of Packing for a Class of Orlicz Spaces. (Chinese), Journal of Tongji Univ. 30 (2002) 7, 895–899] and introduce the \(\Phi_{\triangle}\)-condition at zero.
Jincai Wang
doaj  

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