Results 91 to 100 of about 5,148,140 (146)

Duality properties and Riesz representation theorem in Besicovitch-Musielak-Orlicz space of almost periodic functions [PDF]

, 2000
summary:This paper is an extension of the work done in [Morsli M., Bedouhene F., Boulahia F., Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions, Comment. Math. Univ. Carolin. 43 (2002), no. 1,
Daoui, A., Smaali, M., Morsli, M., Hudzik, Henryk,, Maligranda, Lech,, Maligranda, Lech, Hudzik, Henryk   +6 more
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Asymptotically isometric copies of c0 in Musielak-Orlicz spaces [PDF]

, 2014
Criteria in order that a Musielak-Orlicz function space Lφ as well as Musielak-Orlicz sequence space lφ contains an asymptotically isometric copy of c0 are given. These results extend some results of [Y.A. Cui, H. Hudzik, G.
Narloch, A., Szymaszkiewicz, L.
core  

The UMD property for musielak–orlicz spaces

, 2019
In this paper we show that Musielak–Orlicz spaces are UMD spaces under the so-called Δ2 condition on the generalized Young function and its complemented function.
Schep, A., Wickstead, A., Veraar, M.C., de Jeu, M., van Neerven, J., Yaroslavtsev, I.S., Lindemulder, N., Dodds, P., Sukochev, F., Buskes, G.   +9 more
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Sobolev embeddings in Musielak-Orlicz space [PDF]

, 2023
An embedding theorem for Sobolev spaces built upon general Musielak-Orlicz norms is offered. These norms are defined in terms of generalized Young functions which also depend on the $x$ variable.
Cianchi, Andrea, Diening, Lars
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Invariant means and lacunary sequence spaces of order (α, β)

Demonstratio Mathematica
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad, Nasiruzzaman Md., Sharma Sunil K., Cai Qing-Bo   +3 more
doaj   +1 more source

Sobolev inequalities in non-homogeneous central Musielak–Orlicz–Morrey spaces and double phase functionals

Bulletin of Mathematical Sciences
In this paper, we give Sobolev inequalities for Riesz potentials of functions in non-homogeneous central Musielak–Orlicz–Morrey spaces [Formula: see text], which is an improvement of our results [T. Ohno and T. Shimomura, Boundedness of maximal operators
Takao Ohno, Tetsu Shimomura
doaj   +1 more source

Generalized Rough Cesaro and Lacunary Statistical Triple Difference Sequence Spaces in Probability of Fractional Order Defined by Musielak-Orlicz Function

International Journal of Analysis and Applications, 2018
We generalized the concepts in probability of rough Ces$\grave{a}$ro and lacunary statistical by introducing the difference operator $\Delta^{\alpha}_{\gamma}$ of fractional order, where $\alpha$ is a proper fraction and $\gamma=\left(\gamma_{mnk}\right)$
A. Esi, N. Subramanian
doaj   +2 more sources

$\mathcal{I}$-Convergence Sequence Paranormed Spaces of Order (α, β)

Axioms
In this paper, we introduce and rigorously define a novel class of difference sequence spaces, denoted by wI(M,∆vu,r)αβ, w0I(M,∆vu,r)αβ, w∞I(M,∆vu,r)αβ, and w∞(M,∆vu,r)αβ.
Lian-Ta Su, Ravi Kumar, Sunil K. Sharma, Ajay K. Sharma, Qing-Bo Cai   +4 more
doaj   +1 more source

Isometries of Musielak-Orlicz spaces II [PDF]

, 1993
A characterization of isometries of complex Musielak-Orlicz spaces $L_Φ$ is given. If $L_Φ$ is not a Hilbert space and $U : L_Φ → L_Φ$ is a surjective isometry, then there exist a regular set isomorphism τ from (T,Σ,μ) onto itself and a measurable ...
Jamison, J. E., Lin, Pei-Kee, Kamińska, A.   +2 more
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Roughness of two norms on Musielak-Orlicz function spaces [PDF]

Banach Center Publications, 2007
Jimin Zheng, Lihuan Sun, Yun'an Cui
openaire   +1 more source