Results 31 to 40 of about 14,081 (237)
Monotonicity of Orlicz Function Space-equipped with S-norm
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
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Dual spaces to Orlicz–Lorentz spaces [PDF]
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Kamińska, Anna +2 more
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Extreme points and rotundity of Orlicz-Sobolev spaces
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
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Uniform estimates with data from generalized Lebesgue spaces in periodic structures
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
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The Monotonicity of Orlicz-Lorentz Sequence Spaces Equipped with the F-norm
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
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Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
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
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The Daugavet property in the Musielak-Orlicz spaces
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
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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
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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
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Coarse and uniform embeddings between Orlicz sequence spaces
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
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