Results 11 to 20 of about 7,246 (194)

Universal classes of Orlicz function spaces [PDF]

open access: yesPacific Journal of Mathematics, 1992
It is proved that for each ...
Hernández, Francisco L., Ruiz, César
openaire   +3 more sources

Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]

open access: yesMathematische Nachrichten, 2013
In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Vigelis, Rui F., Cavalcante, Charles C.
openaire   +2 more sources

Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm

open access: yesJournal of Inequalities and Applications, 2020
In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given.
Lili An, Yunan Cui
doaj   +1 more source

Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm

open access: yesJournal of Function Spaces, 2020
Some basic properties in Orlicz spaces and Orlicz sequence spaces that are generated by monotone function equipped with the Mazur-Orlicz F-norm are studied in this paper. We give some relationships between the modulus and the Mazur-Orlicz F-norm.
Xinran Bai, Yunan Cui, Joanna Kończak
doaj   +1 more source

M-constants in Orlicz Spaces Equipped with the Luxemburg Norm

open access: yesJournal of Harbin University of Science and Technology, 2022
Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
doaj   +1 more source

Smooth functions in Orlicz function spaces [PDF]

open access: yesArchiv der Mathematik, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gonzalo, Raquel, Maleev, Rumen P.
openaire   +2 more sources

Proximunalty in Orlicz-bochner Function Spaces

open access: yesTamkang Journal of Mathematics, 2003
A (closed) subspace $ Y$ of a Banach space $ X$ is called proximinal if for every $ x\in X$ there exists some $ y\in Y$ such that $ \|x-y\|\le\|x-z\|$ for $ z\in Y$. It is the object of this paper is to study the proximinality of $ L^\Phi(I,Y)$ in $ L^\Phi(I,X)$ for some class of Young's functions $ \Phi$, where $ I$ is the unit interval.
Khandaqji, M., Khalil, R., Hussein, D.
openaire   +6 more sources

Asymptotically isometric copies of c_{0} in Musielak-Orlicz spaces [PDF]

open access: yesOpuscula Mathematica, 2014
Criteria in order that a Musielak-Orlicz function space \(L^\Phi\) as well as Musielak-Orlicz sequence space \(l^\Phi\) contains an asymptotically isometric copy of \(c_0\) are given. These results extend some results of [Y.A. Cui, H. Hudzik, G. Lewicki,
Agata Narloch, Lucjan Szymaszkiewicz
doaj   +1 more source

Compact composition operators on Bergman-Orlicz spaces [PDF]

open access: yes, 2010
We construct an analytic self-map $\phi$ of the unit disk and an Orlicz function $\Psi$ for which the composition operator of symbol $\phi$ is compact on the Hardy-Orlicz space $H^\Psi$, but not compact on the Bergman-Orlicz space ${\mathfrak B}^\Psi ...
Lefèvre, Pascal   +3 more
core   +3 more sources

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

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