Results 31 to 40 of about 7,369 (269)

Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm

open access: yesJournal of Inequalities and Applications, 2020
In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given.
Lili An, Yunan Cui
doaj   +1 more source

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

Musielak-Orlicz-Sobolev spaces on metric measure spaces [PDF]

open access: yes, 2015
summary:Our aim in this paper is to study Musielak-Orlicz-Sobolev spaces on metric measure spaces. We consider a Hajłasz-type condition and a Newtonian condition.
Ohno, Takao   +3 more
core   +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

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

Packing constant for Cesàro-Orlicz sequence spaces [PDF]

open access: yes, 2016
summary:The packing constant is an important and interesting geometric parameter of Banach spaces. Inspired by the packing constant for Orlicz sequence spaces, the main purpose of this paper is calculating the Kottman constant and the packing constant of
Ma, Zhen-Hua   +2 more
core   +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

Uniform non-squareness and property $(\beta )$ of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm [PDF]

open access: yes, 2010
summary:We characterize the uniform non-squareness and the property $(\beta )$ of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz ...
Boulahia, Fatiha, Morsli, Mohamed
core   +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

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