Results 41 to 50 of about 221 (175)

Smooth Points of Orlicz Function Spaces Equipped with S-norm

Journal of Harbin University of Science and Technology
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

Uniform rotundity in every direction of Orlicz-Sobolev spaces

Journal of Inequalities and Applications, 2016
In this paper, we study the extreme points and rotundity of Orlicz-Sobolev spaces. Analyzing and combining the properties of both Orlicz spaces and Sobolev spaces, we get the sufficient and necessary criteria for Orlicz-Sobolev spaces equipped with a ...
Fayun Cao, Rui Mao, Bing Wang
doaj   +1 more source

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

Isometries of Musielak-Orlicz Spaces Equipped with the Orlicz Norm

Rocky Mountain Journal of Mathematics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Amemiya norm equals Orlicz norm in general

Indagationes Mathematicae, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hudzik, Henryk, Maligranda, Lech
openaire   +3 more sources

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

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

Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED, Moussa Ahmed Salem ATIGH, Mohamed Saad Bouh ELEMINE VALL, Calogero Vetro   +3 more
wiley   +1 more source

Some properties of pre-quasi norm on Orlicz sequence space

Journal of Inequalities and Applications, 2020
In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space), which is more general than the usual norm, and give the conditions on E equipped with the pre-quasi norm to be Banach space.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

Geometric properties of F-normed Orlicz spaces [PDF]

Aequationes mathematicae, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui, Yunan, Hudzik, Henryk, Kaczmarek, Radosław, Kolwicz, Paweł   +3 more
openaire   +2 more sources