Resultados globales: 13 registros encontrados en 0.03 segundos.
Artículos, Encontrados 12 registros
Libros y colecciones, Encontrados 1 registros
Artículos Encontrados 12 registros  1 - 10siguiente  ir al registro:
1.
17 p, 379.2 KB Sobolev inequalities : Symmetrization and self-improvement via truncation / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics) ; Pustylnik, Evgeniy (Israel Institute of Technology. Department of Mathematics)
We develop a new method to obtain symmetrization inequalities of Sobolev type. Our approach leads to new inequalities and considerable simplification in the theory of embeddings of Sobolev spaces based on rearrangement invariant spaces.
2007 - 10.1016/j.jfa.2007.05.017
Journal of Functional Analysis, Vol. 252, Issue 2 (November 2007) , p. 677-695  
2.
26 p, 392.9 KB Isoperimetry and symmetrization for logarithmic Sobolev inequalities / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
Using isoperimetry and symmetrization we provide a unified framework to study the classical and logarithmic Sobolev inequalities. In particular, we obtain new Gaussian symmetrization inequalities and connect them with logarithmic Sobolev inequalities. [...]
2009 - 10.1016/j.jfa.2008.09.001
Journal of Functional Analysis, Vol. 256, Issue 1 (January 2009) , p. 149-178  
3.
17 p, 371.2 KB Self improving Sobolev-Poincaré inequalities, truncation and symmetrization / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
In Martín et al. (J Funct Anal 252:677-695, 2007) we developed a new method to obtain symmetrization inequalities of Sobolev type for functions in W01,1(Ω). In this paper we extend our method to Sobolev functions that do not vanish at the boundary.
2008 - 10.1007/s11118-008-9102-8
Potential Analysis, Vol. 29, Issue 4 (December 2008) , p. 391-408  
4.
27 p, 426.2 KB Sobolev inequalities, rearrangements, isoperimetry and interpolation spaces / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
We characterize Poincaré inequalities in metric spaces using rearrangement inequalities.
American Mathematical Society, 2011 (Contemporary Mathematics ; 545) - 10.1090/conm/545
Concentration, Functional Inequalities and Isoperimetry, 2011, p. 167-193  
5.
69 p, 758.3 KB Pointwise symmetrization inequalities for Sobolev functions and applications / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
We develop a technique to obtain new symmetrization inequalities that provide a unified framework to study Sobolev inequalities, concentration inequalities and sharp integrability of solutions of elliptic equations.
2010 - 10.1016/j.aim.2010.02.022
Advances in mathematics, Vol. 225, Issue 1 (September 2010) , p. 121-199  
6.
27 p, 537.5 KB Integral isoperimetric transference and dimensionless Sobolev inequalities / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We introduce the concept of Gaussian integral isoperimetric transfer and show how it can be applied to obtain a new class of sharp Sobolev-Poincaré inequalities with constants independent of the dimension. [...]
2015 - 10.1007/s13163-014-0153-7
Revista Matematica Complutense, Vol. 28 (May 2015) , p. 359-392  
7.
32 p, 606.3 KB A Sobolev type embedding theorem for Besov spaces defined on doubling metric spaces / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ortiz Vargas, Walter Andrés (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We obtain a Sobolev type embedding result for Besov spaces defined on a doubling measure metric space.
2019 - 10.1016/j.jmaa.2019.07.032
Journal of mathematical analysis and applications, Vol. 479, Issue 2 (November 2019) , p. 2302-2337  
8.
17 p, 367.2 KB A note on coulhon type inequalities / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
T. Coulhon introduced an interesting reformulation of the usual Sobolev inequalities. We characterize Coulhon type inequalities in terms of rearrangement inequalities.
2014 - 10.1090/S0002-9939-2014-12133-2
Proceedings of the American Mathematical Society, Vol. 142, Num. 12 (August 2014) , p. 4221-4237  
9.
13 p, 335.5 KB Hardy inequalities in fractional Orlicz-Sobolev spaces / Salort, Ariel (Universidad de Buenos Aires. Departamento de Matemática)
In this article we prove both norm and modular Hardy inequalities for class functions in one-dimensional fractional Orlicz-Sobolev spaces.
2022 - 10.5565/PUBLMAT6612207
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 183-195 (Articles)  
10.
17 p, 258.2 KB Poincaré inequalities and Sobolev spaces / MacManus, Paul (Phillips Exeter Academy (Exeter, Estats Units d'Amèrica))
Our understsanding of the interplay between Poincaré inequalities, Sobolev inequalities and the geometry of the underlying space has changed considerably in recent years. These changes have simultaneously provided new insights into the classical theory and allowed much of that theory to be extended to a wide variety of different settings. [...]
2002 - 10.5565/PUBLMAT_Esco02_08
Publicacions matemàtiques, Vol. Extra (2002) , p. 181-197  

Artículos : Encontrados 12 registros   1 - 10siguiente  ir al registro:
Libros y colecciones Encontrados 1 registros  
1.
144 p, 956.4 KB Inégalités de Sobolev fractionnaires : symétrisation, isopérimétrie et interpolation / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
We obtain new oscillation inequalities in metric spaces in terms of the PeetreK-functional and the isoperimetric profile. Applications provided include a detailed study of Fractional Sobolev inequalities and the Morrey-Sobolev embedding theorems in different contexts. [...]
Nous démontrons de nouvelles inégalités d'oscillations dans des espaces métriques qui s'expriment via la fonctionnelle K de Peetre et le profile isopérimétrique. Cela permet une étude détaillée des inégalités de Sobolev fractionnaires. [...]

Paris : Société Mathématique de France , 2014 (Astérisque ; 366) - 10.24033/ast.937  

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