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Resultados globales: 20 registros encontrados en 0.02 segundos.
Artículos, Encontrados 16 registros
Libros y colecciones, Encontrados 4 registros
Artículos Encontrados 16 registros  1 - 10siguiente  ir al registro:
1.
28 p, 596.2 KB Modes of convergence : Interpolation Methods I / Martín i Pedret, Joaquim (Universitat de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
In the present paper we explore an approximation theoretic approach to some classical convergence theorems of real analysis. The background of this paper is the intuition that some of the usual compactness theorems on various modes of convergence in classical analysis are based on suitable ways of obtaining good decompositions of functions to exploit rates of approximation, cancellations, or appropriate control of sizes that can be controlled by the basic functionals of real interpolation.
2001 - 10.1006/jath.2000.3564
Journal of approximation theory, Vol. 111, Issue 1 (July 2001) , p. 91-127  
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2.
21 p, 503.1 KB Reverse Hölder inequalities and approximation spaces / Martín i Pedret, Joaquim (Universitat de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
We develop a simple geometry free context where one can formulate and prove general forms of Gehring's Lemma. We show how our result follows from a general inverse type reiteration theorem for approximation spaces.
2001 - 10.1006/jath.2000.3531
Journal of approximation theory, Vol. 109, Issue 1 (March 2001) , p. 82-109  
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3.
5 p, 311.3 KB Isoperimetry and symmetrization for Sobolev spaces on metric spaces / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
Using isoperimetry we obtain new symmetrization inequalities that allow us to provide a unified framework to study Sobolev inequalities in metric spaces. The applications include concentration inequalities, Poincaré inequalities, as well as metric versions of the Pólya-Szegö and Faber-Krahn principles. [...]
En utilisant l'isopérimétrie nous obtenons des nouvelles inégalités de symetrisation qui nous permettent de fournir un cadre unifié pour étudier des inégalités de Sobolev dans des espaces métriques. [...]
2009 - 10.1016/j.crma.2009.04.011
Comptes Rendus Mathematique, Vol. 347, Issue 11-12 (June 2009) , p. 627-630  
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4.
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  
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5.
23 p, 416.9 KB Weighted norm inequalites and indices / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
We extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices. As an application we obtain necessary and sufficient conditions for generalized Hardy type operators to be bounded on Λp(w), Λp,∞ (w), Γp(w) and Γp,∞(w).
2006
Journal of Function Spaces and Applications, Vol. 4, Issue 1 (2006) , p. 43-71  
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6.
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  
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7.
41 p, 515.1 KB Extrapolation methods and Rubio de Francia's extrapolation theorem / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
We develop a general framework to study extrapolation of inequalities.
2006 - 10.1016/j.aim.2005.02.006
Advances in mathematics, Vol. 201, issue 1 (March 2006) , p. 209-262  
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8.
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  
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9.
15 p, 382.9 KB Sharp Gagliardo-Nirenberg inequalities via symmetrization / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
We prove Gagliardo-Nirenberg inequalities using certain new symmetrization inequalities. Our methods are elementary and can be applied in a very general context.
2007 - 10.4310/MRL.2007.v14.n1.a4
Mathematical research letters, Vol. 14, Issue 1 (2007) , p. 49-62  
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10.
22 p, 405.8 KB Higher-order symmetrization inequalities and applications / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
We prove new extended forms of the Pólya-Szegö symmetrization principle. As a consequence new sharp embedding theorems for generalized Sobolev and Besov spaces are proved.
2007 - 10.1016/j.jmaa.2006.07.033
Journal of mathematical analysis and applications, Vol. 330, Issue 1 (June 2007) , p. 91-113  
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Artículos : Encontrados 16 registros   1 - 10siguiente  ir al registro:
Libros y colecciones Encontrados 4 registros  
1.
18 p, 349.8 KB An abstract Coifman-Rochberg-Weiss commutator theorem / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
We formulate and prove a version of the celebrated Coifman-Rochberg-Weiss commutator theorem for the real method of interpolation.
New Jersey [etc.] : World Scientific, 2008 - 10.1142/9789812834447_0010
Topics in Classical Analysis and Applications in Honor of Daniel Waterman, 2008, p. 141-160  
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2.
10 p, 324.5 KB A note on Sobolev inequalities and limits of Lorentz spaces / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
Motivated by the theory of Sobolev embeddings we shall present a new way to obtain L∞ estimates by means of taking limits of Lorentz spaces (*extrapolation*). Although our result is independent from the theory of embeddings we thought it would be worthwhile to present rather succinctly the issues that motivated us. [...]
Providence, Rhode Island : American Mathematical Society, 2007 (Contemporary Mathematics) - 10.1090/conm/445
Interpolation Theory and Applications, Vol. 445 (2007) , p. 237-245  
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3.
17 p, 351.7 KB Isoperimetric Hardy type and Poincaré inequalities on metric spaces / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
We give a general construction of manifolds for which Hardy type operators characterize Poincaré inequalities. We also show a class of spaces where this property fails. As an application, we extend recent results of E. [...]
New York : Springer, 2010 (International Mathematical Series ; 11) - 10.1007/978-1-4419-1341-8_13
Around the Research of Vladimir Maz'ya I. Function Spaces, 2010, p. 285-298  
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4.
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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1 Milman, M.
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