Results 21 to 30 of about 87,021 (190)
Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces
Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. In particular, analytic properties of such polynomials have been extensively studied, mainly focused on their asymptotic behavior and the location of their zeros. On
Francisco Marcellán +1 more
doaj +1 more source
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Simas, Alexandre B., Valentim, Fábio J.
openaire +2 more sources
Fractional Sobolev Inequalities: Symmetrization, Isoperimetry and Interpolation [PDF]
We obtain new oscillation inequalities in metric spaces in terms of the Peetre $K-$functional and the isoperimetric profile. Applications provided include a detailed study of Fractional Sobolev inequalities and the Morrey-Sobolev embedding theorems in ...
Martin, Joaquim, Milman, Mario
core +2 more sources
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
doaj +1 more source
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
doaj +1 more source
Weighted Sobolev spaces: Markov-type inequalities and duality
Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. The aim of this paper is to prove several important properties of weighted Sobolev spaces: separability, reflexivity, uniform convexity, duality and Markov-type ...
Francisco Marcellán +2 more
doaj +1 more source
On the Lebesgue and Sobolev spaces on a time-scale [PDF]
We consider the generalized Lebesgue and Sobolev spaces on a bounded time-scale. We study the standard properties of these spaces and compare them to the classical known results for the Lebesgue and Sobolev spaces on a bounded interval.
Ewa Skrzypek +1 more
doaj +1 more source
On anisotropic Sobolev spaces [PDF]
We investigate two types of characterizations for anisotropic Sobolev and BV spaces. In particular, we establish anisotropic versions of the Bourgain-Brezis-Mironescu formula, including the magnetic case both for Sobolev and BV functions.Comment: 10 ...
Nguyen, Hoai-Minh, Squassina, Marco
core +2 more sources
Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, II [PDF]
32 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10.-- Part I of this paper published in: Acta Appl. Math. 80(3): 273-308 (2004), available at: http://e-archivo.uc3m.es/handle/10016/6482MR#: MR1928169 (2003h:42034)Zbl#: Zbl 1095.42014^aWe present ...
Pestana, Domingo +3 more
core +2 more sources
Weighted Variable Exponent Sobolev spaces on metric measure spaces
In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
doaj +1 more source

