Results 61 to 70 of about 4,293,985 (168)

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

Mathematische 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

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

Journal 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

Normal structure and weakly normal structure of Orlicz spaces [PDF]

, 1991
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   +1 more source

Approximative compactness and full rotundity in Musielak–Orlicz spaces and Lorentz–Orlicz spaces

Zeitschrift für Analysis und ihre Anwendungen, 2006
We prove that approximative compactness of a Banach space X is equivalent to the conjunction of reflexivity and the Kadec–Klee property of X .
Hudzik, Henryk, Kowalewski, Wojciech, Lewicki, Grzegorz   +2 more
openaire   +3 more sources

The Steklov spectrum of spherical cylinders

Mathematika, Volume 72, Issue 2, April 2026.
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

A New Sequence Space Defined by a Sequence of Orlicz Functions over $n$-Normed Spaces [PDF]

, 1988
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, Z. U. Ahmad, null Mursaleen   +3 more
core   +1 more source

Generalization of the chord Sobolev inequality for Orlicz spaces

Electronic Journal of Differential Equations
The relationship between the classical chord power integrals and radial mean bodies, as well as the classical chord Sobolev inequalities, have already been established.
Yuke Li, Wentao Guo
doaj   +3 more sources

Potential trace inequalities via a Calderón‐type theorem

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula, Luboš Pick, Daniel Spector   +2 more
wiley   +1 more source

Fourier Multiplier Theorems on Variable Exponent Lebesgue–Bochner Spaces and Applications

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
We establish the Mikhlin‐type Fourier multiplier theorems on variable exponent Lebesgue–Bochner spaces using the Fourier multiplier theorems on weighted Lebesgue–Bochner spaces and the transform results of bounded operators from weighted spaces to variable exponent spaces.
Yuchen Zhong, Calogero Vetro
wiley   +1 more source

Littlewood–Paley Characterization for Musielak–Orlicz–Hardy Spaces Associated with Self-Adjoint Operators

Journal of Function Spaces, 2022
Let X,d,μ be a metric measure space endowed with a metric d and a non-negative Borel doubling measure μ. Let L be a non-negative self-adjoint operator on L2X. Assume that the (heat) kernel associated to the semigroup e−tL satisfies a Gaussian upper bound.
Jiawei Shen, Shunchao Long, Yu-long Deng
doaj   +1 more source