Results 31 to 40 of about 6,527 (212)

Contractive and optimal sets in Musielak-Orlicz spaces with a smoothness condition [PDF]

open access: yesOpuscula Mathematica, 2013
In this paper we use our recent generalization of a theorem of Jamison-Kamińska-Lewicki (characterizing one-complemented subspaces in Musielak-Orlicz sequence spaces defined by Musielak-Orlicz functions satisfying a general smoothness condition) in order
Anna Denkowska
doaj   +1 more source

Interpolation and harmonic majorants in big Hardy-Orlicz spaces [PDF]

open access: yes, 2006
Free interpolation in Hardy spaces is caracterized by the well-known Carleson condition. The result extends to Hardy-Orlicz spaces contained in the scale of classical Hardy spaces $H^p$, $p>0$.
A. G. Naftalevič   +16 more
core   +5 more sources

Packing in Orlicz sequence spaces [PDF]

open access: yesStudia Mathematica, 1997
Let \(X=(X,\| \|)\) be a Banach space with unit ball \(U(X)\).
Rao, M. M., Ren, Z. D.
openaire   +1 more source

Property ( k) of Orlicz Sequence Spaces

open access: yesJournal of Harbin University of Science and Technology, 2017
Property ( k) is an important geometric property in Banach spaces,and it is closely associated with fixed point property. By the geometric theory of Banach spaces and Orlicz spaces, we investigated the characterization for property( k) in a special ...
ZUO Ming-xia, PENG Li-na
doaj   +1 more source

Asymptotic uniform moduli and Kottman constant of Orlicz sequence spaces [PDF]

open access: yes, 2009
We give lower and upper bounds, involving moduli of asymptotic uniform convexity and smoothness, for the Kottman separation constant of Orlicz sequence spaces equipped with the Luxemburg norm.We give lower and upp er b ounds, involving moduli of ...
Delpech, Sylvain
core   +2 more sources

Complex Convexity of Orlicz Modular Sequence Spaces [PDF]

open access: yesJournal of Function Spaces, 2016
The concepts of complex extreme points, complex strongly extreme points, complex strict convexity, and complex midpoint locally uniform convexity in general modular spaces are introduced. Then we prove that, for any Orlicz modular sequence spacelΦ,ρ,lΦ,ρis complex midpoint locally uniformly convex. As a corollary,lΦ,ρis also complex strictly convex.
Lili Chen, Deyun Chen, Yang Jiang
openaire   +2 more sources

Generalized difference strongly summable sequence spaces of fuzzy real numbers defined by ideal convergence and Orlicz function [PDF]

open access: yes, 2013
We study some new generalized difference strongly summable sequence spaces of fuzzy real numbers using ideal convergence and an Orlicz function in connection with de la Vallèe Poussin mean.
Borgohain, Stuti, Kilicman, Adem
core   +2 more sources

Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of ...
Ajagjal Sana
doaj   +1 more source

Packing constant for Cesàro-Orlicz sequence spaces [PDF]

open access: yesCzechoslovak Mathematical Journal, 2016
Let \(X\) be a Banach space and \(B(X)\), \(S(X)\) denote the unit ball and the unit sphere of \(X\), respectively. A sequence of balls with centers at \(x_1, x_2, \dots\) in \(X\) and a fixed radius \(r>0\) is said to be packed into the unit ball if the following two conditions hold: (i) \(\|x_n\|\leq 1 -r\), \(n = 1, 2, \dots\); (ii) \(\|x_n-x_m ...
Ma, Zhen-Hua   +2 more
openaire   +1 more source

Inclusion Mappings between Orlicz Sequence Spaces

open access: yesJournal of Functional Analysis, 2000
It is shown that if \(\ell_\varphi\) is an Orlicz sequence space, then the space \(\ell^w_1(\ell_\varphi)\) of weakly summable sequences in \(\ell_\varphi\) is continuously embedded into \(\ell_\varphi(\ell_2)\) (resp., into \(\ell_\varphi(\ell_\varphi)\)) whenever \(t\mapsto\varphi(\sqrt t)\) is equivalent to a concave function (resp.
Maligranda, Lech, Mastylo, Mieczyslaw
openaire   +2 more sources

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