Results 61 to 70 of about 4,926,903 (245)
Non-squareness and local uniform non-squareness properties of Orlicz-Lorentz function spaces endowed with the Orlicz norm [PDF]
In this paper the necessary and sufficient conditions were given for Orlicz-Lorentz function space endowed with the Orlicz norm having non-squareness and local uniform non-squareness.
arxiv
Numerical study of the Amick–Schonbek system
Abstract The aim of this paper is to present a survey and a detailed numerical study on a remarkable Boussinesq system describing weakly nonlinear, long surface water waves. In the one‐dimensional case, this system can be viewed as a dispersive perturbation of the hyperbolic Saint‐Venant (shallow water) system.
Christian Klein, Jean‐Claude Saut
wiley +1 more source
Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]
In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Charles Casimiro Cavalcante+1 more
openaire +3 more sources
Stability estimates for the Vlasov–Poisson system in p$p$‐kinetic Wasserstein distances
Abstract We extend Loeper's L2$L^2$‐estimate (Theorem 2.9 in J. Math. Pures Appl. (9) 86 (2006), no. 1, 68–79) relating the force fields to the densities for the Vlasov–Poisson system to Lp$L^p$, with 1
Mikaela Iacobelli, Jonathan Junné
wiley
Approximative Compactness in Orlicz Spaces
AbstractSome criteria for approximative compactness of Orlicz function and sequence spaces for both (the Luxemburg and the Orlicz) norms are presented.
Henryk Hudzik, Baoxiang Wang
openaire +2 more sources
On noncommutative distributional Khintchine type inequalities
Abstract The purpose of this paper is to provide distributional estimates for the series of the form ∑k=1∞xk⊗rk$\sum _{k=1}^\infty x_k\otimes r_k$ with {xk}k⩾1$\lbrace x_k\rbrace _{k\geqslant 1}$ being elements from noncommutative Lorentz spaces Λlog1/2(M)$\Lambda _{\log ^{1/2}}(\mathcal {M})$ and {rk}k⩾1$\lbrace r_k\rbrace _{k\geqslant 1}$ being ...
Yong Jiao+3 more
wiley +1 more source
REFLEKSIVITAS PADA RUANG ORLICZ DENGAN KEKONVERGENAN RATA-RATA [PDF]
Ruang Orlicz (L_θ ) merupakan perluasan dari ruang terintegral Lebesgue L_p,p≥1 yang diperkenalkan oleh Z.W. Rirnbaun dan W. Orlicz pada sekitar tahun 1931.
Utari, Mila Apriliani
core
Mixed weak‐type inequalities in Euclidean spaces and in spaces of the homogeneous type
Abstract In this paper, we provide mixed weak‐type inequalities generalizing previous results in an earlier work by Caldarelli and the second author and also in the spirit of earlier results by Lorente et al. One of the main novelties is that, besides obtaining estimates in the Euclidean setting, results are provided as well in spaces of the ...
Gonzalo Ibañez‐Firnkorn+1 more
wiley +1 more source
Abstract In a smoothly bounded two‐dimensional domain Ω$\Omega$ and for a given nondecreasing positive unbounded ℓ∈C0([0,∞))$\ell \in C^0([0,\infty))$, for each K>0$K>0$ and η>0$\eta >0$ the inequality ∫Ωφlnφ⩽η∫Ω|∇φ|2φ2+C(K,η)$$\begin{eqnarray*} \hspace*{140pt} \int _\Omega \varphi \ln \varphi \leqslant \eta \int _\Omega \frac{|\nabla \varphi|^2 ...
Yulan Wang, Michael Winkler
wiley +1 more source
In this paper, based on concepts of convex sets and convex functions, we introduce new concepts of functions, Young functions, strong Young functions and Orlicz functions by relaxing definitions of functions, Young functions, strong Young functions, Orlicz functions respectively.
arxiv