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
On modular approximation property in the Besicovitch-Orlicz space of almost periodic functions [PDF]
summary:We investigate some convergence questions in the class of Besicovitch-Orlicz spaces of vector valued functions. Next, the existence problem of the projection operator on closed convex subsets is considered in the class of almost periodic ...
Morsli, Mohamed
core
A New Sequence Space Defined by a Sequence of Orlicz Functions over $n$-Normed Spaces [PDF]
summary:In this paper we introduce a new sequence space $ BV_{\sigma }(\mathcal {M},u,p,r, \Vert \cdot , \ldots , \cdot \Vert )$ defined by a sequence of Orlicz functions $\mathcal {M} = (M_k)$ and study some topological properties of this sequence ...
Sharma, Sunil K., Raj, Kuldip
core +1 more source
Smooth Points of Orlicz Function Spaces Equipped with S-norm
Smooth points are important concepts in Banach space geometry theory, which have important applications in estimation theory, probability theory and other fields.
XU Hao, WANG Junming
doaj +1 more source
Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates
Let X be a metric space with doubling measure and L a one-to-one operator of type ω having a bounded H∞ -functional calculus in L2(X) satisfying the reinforced (pL; qL) off-diagonal estimates on balls, where pL ∊ [1; 2) and qL ∊ (2;∞]. Let φ : X × [0;∞) →
Bui The Anh +4 more
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
Multipliers between Orlicz sequence space [PDF]
Let $ M,N $ be Orlicz functions and let $ D(l_M,l_N) $ be the space of all diagonal operators (that is multipliers) acting between the Orlicz sequence spaces $ l_M $ and $ l_N $.
Naik, S
core
On some convexity properties in the Besicovitch-Musielak-Orlicz space of almost periodic functions with Luxemburg norm [PDF]
summary:In this article, it is shown that geometrical properties such as local uniform convexity, mid point local uniform convexity, H-property and uniform convexity in every direction are equivalent in the Besicovitch-Musielak-Orlicz space of almost ...
Daoui, Amina +2 more
core +1 more source
The Steklov spectrum of spherical cylinders
Abstract The Steklov problem on a compact Lipschitz domain is to find harmonic functions on the interior whose outward normal derivative on the boundary is some multiple (eigenvalue) of their trace on the boundary. These eigenvalues form the Steklov spectrum of the domain.
Spencer Bullent
wiley +1 more source
Normal structure and weakly normal structure of Orlicz spaces [PDF]
summary:Every Orlicz space equipped with Orlicz norm has weak sum property, therefore, it has weakly normal structure and fixed point property. A criterion of sum property also of normal structure for such spaces is given as well, which shows that every ...
Chen, Shutao, Duan, Yanzheng
core

