The exact values of nonsquare constants for a class of Orlicz spaces [PDF]
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
H‐Points and H‐Property of the Orlicz Spaces Endowed With the s‐Norms
ABSTRACT In this paper, we investigate the set of H‐points on the unit sphere of the Orlicz spaces over non‐atomic and purely atomic measure spaces. Building upon these arguments, we establish a criteria for the H‐property in Orlicz spaces. In addition, our results yield several consequences related to the geometric properties of the Orlicz spaces ...
Serap Öztop, Badik Hüseyin Uysal
wiley +1 more source
Characteristic of convexity of Musielak-Orlicz function spaces equipped with the Luxemburg norm [PDF]
summary:In this paper we extend the result of [6] on the characteristic of convexity of Orlicz spaces to the more general case of Musielak-Orlicz spaces over a non-atomic measure space.
Henryk Hudzik +3 more
core
Unconditional basic sequences in function spaces with applications to Orlicz spaces [PDF]
We find conditions on a function space that ensure that it behaves as an -space in the sense that any unconditional basis of a complemented subspace of either is equivalent to the unit vector system of or has a subbasis equivalent to a disjointly ...
Ansorena, José L. [0000-0002-4979-1080] +2 more
core +1 more source
Some sequence spaces defined by Orlicz functions [PDF]
summary:In this paper we introduce a new concept of $\lambda $-strong convergence with respect to an Orlicz function and examine some properties of the resulting sequence spaces.
Savaş, R., Savaş, E.
core +1 more source
ON \(\lambda\)-WEAK CONVERGENCE OF SEQUENCES DEFINED BY AN ORLICZ FUNCTION
In this article, we introduce and rigorously analyze the concept of difference \(\lambda\)-weak convergence for sequences defined by an Orlicz function.
Ömer Kişi, Mehmet Gürdal
doaj +1 more source
Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm
The complex convexity of Musielak-Orlicz function spaces equipped with the p-Amemiya norm is mainly discussed.
Lili Chen, Yunan Cui, Yanfeng Zhao
doaj +1 more source
Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system
Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
wiley +1 more source
On approximation by rational functions in Musielak–Orlicz spaces
The authors extend the results from [\textit{W. M. Kozlowski}, J. Approx. Theory 264, Article ID 105535, 14 p. (2021; Zbl 1462.41015); Appl. Set-Valued Anal. Optim. 4, No. 3, 337--348 (2022; \url{doi:10.23952/asvao.4.2022.3.07})] to the problem of best approximation by rational functions in a larger class of Musielak-Orlicz spaces of real-valued ...
Kozlowski WM, Vinti G
openaire +4 more sources
Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces
In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively.
Fatih Deringoz +2 more
doaj +1 more source

