Results 41 to 50 of about 1,131,073 (219)

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

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

Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces

open access: yes, 2015
We define Beurling–Orlicz spaces, weak Beurling–Orlicz spaces, Herz–Orlicz spaces, weak Herz–Orlicz spaces, central Morrey–Orlicz spaces and weak central Morrey–Orlicz spaces.
Maligranda, Lech,   +3 more
core   +1 more source

Fractional Orlicz-Sobolev spaces

open access: yes, 2021
The optimal Orlicz target space and the optimal rearrangement-invariant tar- get space are exhibited for embeddings of fractional-order Orlicz-Sobolev spaces W^{s,A}(R^n). Related Hardy type inequalities are proposed as well.
Angela Alberico
core  

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 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

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

Empirical‐Process Limit Theory and Filter Approximation Bounds for Score‐Driven Time Series Models

open access: yesJournal of Time Series Analysis, EarlyView.
ABSTRACT This article examines the filtering and approximation‐theoretic properties of score‐driven time series models. Under specific Lipschitz‐type and tail conditions, new results are derived, leading to maximal and deviation inequalities for the filtering approximation error using empirical process theory.
Enzo D'Innocenzo
wiley   +1 more source

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