Results 51 to 60 of about 5,398,923 (220)

Double Sequence Spaces by Means of Orlicz Functions [PDF]

open access: yesAbstract and Applied Analysis, 2014
We define some classes of double entire and analytic sequences by means of Orlicz functions. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
Abdullah Alotaibi   +2 more
openaire   +4 more sources

Self‐improving property for certain degenerate functionals with generalized Orlicz growth

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We investigate a self‐improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasi‐minimizer has local higher ...
Vertti Hietanen, Mikyoung Lee
wiley   +1 more source

A note on Schroeder-Bernstein Property and Primary Property of Orlicz function spaces [PDF]

open access: yes, 1998
summary:It is shown in the note that every reflexive Orlicz function space has the Schroeder-Bernstein Property and the Primary ...
Chen, Shutao, Duan, Yanzheng
core  

Approximative Compactness in Orlicz Spaces

open access: yes, 1998
Some criteria for approximative compactness of Orlicz function and sequence spaces for both (the Luxemburg and the Orlicz) norms are ...
Hudzik, Henryk, Wang, Baoxiang
core   +1 more source

On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence

open access: yesMathematical Modelling and Analysis, 2006
In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence.
A. Esi
doaj   +1 more source

A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure

open access: yesMathematische Nachrichten, Volume 299, Issue 7, Page 1540-1548, July 2026.
ABSTRACT In this paper, we give an elementary proof that sets of zero p,1$p,1$‐Sobolev‐Lorentz capacity are Hn−p$\mathcal {H}^{n-p}$‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐(p,1)$(p,1)$ capacity equal to zero with Hausdorff dimension equal n−p$n-p$.
Daniel Campbell
wiley   +1 more source

Orlicz Function Spaces and Composition Operator [PDF]

open access: yes, 2013
In our dissertation we present here the salient features from the theory of Orlicz function spaces, LÖ(Ù), generated by the Young’s function Ö on an arbitrary ó−finite measurable spaces Ù.
Giri, Chinmay Kumar
core  

H‐Points and H‐Property of the Orlicz Spaces Endowed With the s‐Norms

open access: yesMathematische Nachrichten, Volume 299, Issue 5, Page 1062-1084, May 2026.
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

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

open access: yes, 2002
summary:In [6], the classical Riesz representation theorem is extended to the class of Besicovitch space of almost periodic functions $B^{q}$\,a.p., $q\in ] 1,+\infty [$ . It is also shown that this space is reflexive. We shall consider here such results
Boulahia, F., Morsli, M., Bedouhene, F.
core  

Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
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

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