Results 31 to 40 of about 14,381 (242)
Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Open 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
Compact composition operators on Bergman-Orlicz spaces [PDF]
, 2010 We construct an analytic self-map $\phi$ of the unit disk and an Orlicz function $\Psi$ for which the composition operator of symbol $\phi$ is compact on the Hardy-Orlicz space $H^\Psi$, but not compact on the Bergman-Orlicz space ${\mathfrak B}^\Psi ...
Lefèvre, Pascal +3 more
core +3 more sources
Multipliers on noncommutative Orlicz spaces [PDF]
Quaestiones Mathematicae, 2014 14 ...
openaire +5 more sources
On the lack of compactness in the 2D critical Sobolev embedding [PDF]
, 2010 This paper is devoted to the description of the lack of compactness of $H^1_{rad}(\R^2)$ in the Orlicz space. Our result is expressed in terms of the concentration-type examples derived by P. -L. Lions.
Bahouri, Hajer +2 more
core +2 more sources
Extreme points and rotundity of Orlicz-Sobolev spaces
International 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
Manuscripta Mathematica, 1981 In this paper, we investigate the prediction (or best approximation) operator from a uniformly convex real Orlicz space to a subset of σ-lattice measurable functions. In particular, a counterexample to the monotoncity property, which holds in Lp spaces, is given. Also, a sufficient condition for monotonicity to hold is given. Finally, nested σ-lattices,
Darst, R.B., Legg, D.A., Townsend, D.W.
openaire +2 more sources
Extreme Points and Rotundity in Musielak-Orlicz-Bochner Function Spaces Endowed with Orlicz Norm
Abstract and Applied Analysis, 2010 The criteria for extreme point and rotundity of Musielak-Orlicz-Bochner function spaces equipped with Orlicz norm are given. Although criteria for extreme point of Musielak-Orlicz function spaces equipped with the Orlicz norm were known, we can easily ...
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
doaj +1 more source
Orlicz spaces which are AM-spaces [PDF]
Archiv der Mathematik, 1997 The Orlicz function and sequence spaces which are AM-spaces are characterized for both the Luxemburg-Nakano and the Amemiya (Orlicz) norm.
Finol, C. E. +2 more
openaire +3 more sources
Journal 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
The Daugavet property in the Musielak-Orlicz spaces
, 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