Results 31 to 40 of about 14,081 (237)

Monotonicity of Orlicz Function Space-equipped with S-norm

open access: yesJournal of Harbin University of Science and Technology, 2021
Monotonicity is important to Banach space geometry. In this paper,the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First,we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
doaj   +1 more source

Dual spaces to Orlicz–Lorentz spaces [PDF]

open access: yesStudia Mathematica, 2014
25 ...
Kamińska, Anna   +2 more
openaire   +2 more sources

Extreme points and rotundity of Orlicz-Sobolev spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
It is well known that Sobolev spaces have played essential roles in solving nonlinear partial differential equations. Orlicz-Sobolev spaces are generalized from Sobolev spaces.
Shutao Chen   +2 more
doaj   +1 more source

Uniform estimates with data from generalized Lebesgue spaces in periodic structures

open access: yesBoundary Value Problems, 2021
We study various types of uniform Calderón–Zygmund estimates for weak solutions to elliptic equations in periodic homogenization. A global regularity is obtained with respect to the nonhomogeneous term from weighted Lebesgue spaces, Orlicz spaces, and ...
Yunsoo Jang
doaj   +1 more source

The Monotonicity of Orlicz-Lorentz Sequence Spaces Equipped with the F-norm

open access: yesJournal of Harbin University of Science and Technology
We introduce a new F-normed spaces, namely Orlicz-Lorentz spaces equipped with the Mazur-Orlicz F-norm, and study some properties, prove that Orlicz-Lorentz spaces equipped with the F-norm are complete F-spaces.
XUE Yangyang, CUI Yunan
doaj   +1 more source

Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications

open access: yesOpen Mathematics, 2023
Let m∈Nm\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces Wm,φ(Rn){W}^{m,\varphi }\left({{\mathbb{R}}}^{n}).
Wu Ruimin, Wang Songbai
doaj   +1 more source

The Daugavet property in the Musielak-Orlicz spaces

open access: yes, 2014
We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
core   +1 more source

Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz--Morrey spaces of the third kind

open access: yes, 2018
In the present paper, we will characterize the boundedness of the generalized fractional integral operators $I_{\rho}$ and the generalized fractional maximal operators $M_{\rho}$ on Orlicz spaces, respectively.
Deringoz, Fatih   +4 more
core   +1 more source

Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm

open access: yesJournal of Function Spaces, 2019
As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
doaj   +1 more source

Coarse and uniform embeddings between Orlicz sequence spaces

open access: yes, 2013
We give an almost complete description of the coarse and uniform embeddability between Orlicz sequence spaces. We show that the embeddability between two Orlicz sequence spaces is in most cases determined only by the values of their upper Matuszewska ...
F Albiac   +11 more
core   +1 more source

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