Results 91 to 100 of about 7,160,171 (246)
Journal of Inequalities and Applications, 2011 Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally uniform nonsquare Banach space ...
Cui Yunan, Shang Shaoqiang, Fu Yongqiang
doaj
Inclusions of Hardy Orlicz spaces
International Journal of Mathematics and Mathematical Sciences, 1986 Let ϕ be a continuous positive increasing function defined on [0,∞) such that ϕ(x+y)≤ϕ(x)+ϕ(y) and ϕ(0)=0. The Hardy-Orlicz space generated by ϕ is denoted by H(ϕ). In this paper, we prove that for ϕ≠ψ, if H(ϕ)=H(ψ) as sets, then H(ϕ)=H(ψ) as topological
Roshdi Khalil
doaj +1 more source
New Difference Sequence Spaces Defined by Musielak-Orlicz Function
, 2014 We introduce new sequence spaces by using Musielak-Orlicz function and a generalized -difference operator on -normed space. Some topological properties and inclusion relations are also examined.
M. Mursaleen +3 more
semanticscholar +1 more source
Multiplicity results for logarithmic double phase problems via Morse theory
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4178-4201, December 2025.Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu +2 more
wiley +1 more source
Vector Valued Multiple Sequence Spaces Defined by Orlicz Function
, 2014 In this article we define some vector valued multiple sequence spaces defined by Orlicz function. We study some of their properties like solidness, sym- metry, completeness etc and some inclusion results.
B. Tripathy, Rupanjali Goswami
semanticscholar +1 more source
Criteria for $k_M<\infty$ in Musielak-Orlicz spaces
, 2001 summary:In this paper, some necessary and sufficient conditions for $\sup \{k_x:\|x\|^0=1\}< \infty $ in Musielak-Orlicz function spaces as well as in Musielak-Orlicz sequence spaces are ...
Cao, Lianying, Wang, Tingfu
core
On paranormed Zweier ideal convergent sequence spaces defined by Orlicz function
, 2014 In this article we introduce paranorm ideal convergent sequence spaces using Zweier transform and Orlicz function. We study some topological and algebraic properties. Further we prove some inclusion relations related to these new spaces.
B. Hazarika, K. Tamang, B. K. Singh
semanticscholar +1 more source
Local uniform non-squareness of Orlicz–Lorentz function spaces
RACSAM, 2019 We give criteria for local uniform non-squareness of Orlicz–Lorentz function spaces Λφ,ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
P. Foralewski, Joanna Kończak
semanticscholar +1 more source
DIFFERENCE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS
Demonstratio Mathematica, 1999 There are five results in this paper. Given a sequence \(x= (x_k)\), \(\Delta x_k\) stands for \(x_k- x_{k+1}\) and \(\Delta x= (\Delta x_k: k= 1,2,\dots)\). Let \(\ell_\infty\), \(c\), \(c_0\) be the spaces of the bounded, the convergent and the null sequences, respectively.
Mursaleen, Khan, Mushir A., Qamaruddin
openaire +2 more sources
Characterization of generalized Orlicz spaces
, 2016 The norm in classical Sobolev spaces can be expressed as a difference quotient. This expression can be used to generalize the space to the fractional smoothness case. Because the difference quotient is based on shifting the function, it cannot be used in
Hästö, Peter +2 more
core +1 more source