Results 21 to 30 of about 87,021 (190)

Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces

open access: yesBulletin of Mathematical Sciences, 2021
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

W-Sobolev spaces

open access: yesJournal of Mathematical Analysis and Applications, 2011
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]

open access: yes, 2014
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

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

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

Weighted Sobolev spaces: Markov-type inequalities and duality

open access: yesBulletin of Mathematical Sciences, 2017
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]

open access: yesOpuscula Mathematica, 2019
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]

open access: yes, 2017
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]

open access: yes, 2002
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

open access: yesMoroccan Journal of Pure and Applied Analysis, 2018
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

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