Results 21 to 30 of about 188,291 (210)

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

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

Rearrangement and Convergence in Spaces of Measurable Functions

open access: yesJournal of Inequalities and Applications, 2007
We prove that the convergence of a sequence of functions in the space L0 of measurable functions, with respect to the topology of convergence in measure, implies the convergence μ-almost everywhere (μ denotes the Lebesgue measure) of the sequence ...
A. Trombetta   +2 more
doaj   +2 more sources

Multiplication Operators on Orlicz Generalized Difference (sss)

open access: yesJournal of Function Spaces, 2020
In this article, we inspect the sufficient conditions on the Orlicz generalized difference sequence space to be premodular Banach (sss). We look at some topological and geometrical structures of the multiplication operators described on Orlicz ...
Awad A. Bakery, OM Kalthum S. K. Mohamed
doaj   +1 more source

Upper bounds of some matrix operators on binomial and Orlicz-binomial double sequence spaces

open access: yesScientific African, 2022
In this article, we introduce binomial double sequence space bk(α,β;γ,δ) (1≤k≤∞) and Orlicz-binomial double sequence space bφ(α,β;γ,δ), and obtain certain inclusion results related to these spaces.
Taja Yaying, Bipan Hazarika
doaj   +1 more source

ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE

open access: yes, 2006
Classical theory of tensornorms and operator ideals studies mainly those defined by means of sequence spaces lp. Considering Orlicz sequence spaces as natural generalization of lp spaces, in a previous paper [12] an Orlicz sequence space was used to ...
J. Lopez, M. Rivera, G. Loaiza
semanticscholar   +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

The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces

open access: yesOpen Mathematics, 2020
In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
doaj   +1 more source

A Generalized Version of the Lions-Type Lemma

open access: yesAnnales Mathematicae Silesianae, 2023
In this short paper, I recall the history of dealing with the lack of compactness of a sequence in the case of an unbounded domain and prove the vanishing Lions-type result for a sequence of Lebesgue-measurable functions.
Chmara Magdalena
doaj   +1 more source

Linear isomorphic spaces of fractional-order difference operators

open access: yesAlexandria Engineering Journal, 2021
In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces.
S.A. Mohiuddine   +3 more
doaj   +1 more source

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